7957264 has 40 divisors (see below), whose sum is σ = 18391680. Its totient is φ = 3260928.

The previous prime is 7957259. The next prime is 7957273. The reversal of 7957264 is 4627597.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032 + ... + 4120.

It is an arithmetic number, because the mean of its divisors is an integer number (459792).

Almost surely, 2^7957264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7957264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9195840).

7957264 is an abundant number, since it is smaller than the sum of its proper divisors (10434416).

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

7957264 is a wasteful number, since it uses less digits than its factorization.

7957264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3121 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 7957264 is about 2820.8622795167. The cubic root of 7957264 is about 199.6432306232.

The spelling of 7957264 in words is "seven million, nine hundred fifty-seven thousand, two hundred sixty-four".