1671264 has 72 divisors (see below), whose sum is σ = 5438160. Its totient is φ = 476928.

The previous prime is 1671227. The next prime is 1671277. The reversal of 1671264 is 4621761.

It is a tau number, because it is divible by the number of its divisors (72).

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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1602 + ... + 2430.

It is an arithmetic number, because the mean of its divisors is an integer number (75530).

2^1671264 is an apocalyptic number.

1671264 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 1671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719080).

1671264 is an abundant number, since it is smaller than the sum of its proper divisors (3766896).

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

1671264 is a wasteful number, since it uses less digits than its factorization.

1671264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 841 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1671264 is about 1292.7737621100. The cubic root of 1671264 is about 118.6720248952.

It can be divided in two parts, 1671 and 264, that multiplied together give a palindrome (441144).

The spelling of 1671264 in words is "one million, six hundred seventy-one thousand, two hundred sixty-four".