1264896 has 90 divisors (see below), whose sum is σ = 3833522. Its totient is φ = 414720.

The previous prime is 1264889. The next prime is 1264897. The reversal of 1264896 is 6984621.

1264896 is a *`hidden beast`* number, since 1 + 2 + 648 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 518400 = 864^2 + 720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a self number, because there is not a number *n* which added to its sum of digits gives 1264896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20706 + ... + 20766.

2^{1264896} is an apocalyptic number.

1264896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916761).

1264896 is an abundant number, since it is smaller than the sum of its proper divisors (2568626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1264896 is an frugal number, since it uses more digits than its factorization.

1264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1264896 is about 1124.6759533306. The cubic root of 1264896 is about 108.1479453904.

The spelling of 1264896 in words is "one million, two hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 128 144 162 183 192 216 244 256 288 324 366 384 432 488 549 576 648 732 768 864 976 1098 1152 1296 1464 1647 1728 1952 2196 2304 2592 2928 3294 3456 3904 4392 4941 5184 5856 6588 6912 7808 8784 9882 10368 11712 13176 15616 17568 19764 20736 23424 26352 35136 39528 46848 52704 70272 79056 105408 140544 158112 210816 316224 421632 632448 1264896

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