1270864 has 30 divisors (see below), whose sum is σ = 2866074. Its totient is φ = 544320.

The previous prime is 1270861. The next prime is 1270879. The reversal of 1270864 is 4680721.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 78400 = 1092^2 + 280^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270861) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27 + ... + 1594.

2^1270864 is an apocalyptic number.

1270864 is a gapful number since it is divisible by the number (14) 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 1270864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433037).

1270864 is an abundant number, since it is smaller than the sum of its proper divisors (1595210).

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

1270864 is a wasteful number, since it uses less digits than its factorization.

1270864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1270864 is about 1127.3260397951. The cubic root of 1270864 is about 108.3177655473.

It can be divided in two parts, 12 and 70864, that added together give a triangular number (70876 = T₃₇₆).

The spelling of 1270864 in words is "one million, two hundred seventy thousand, eight hundred sixty-four".