7256960 has 128 divisors (see below), whose sum is σ = 19828800. Its totient is φ = 2523136.

The previous prime is 7256947. The next prime is 7256999. The reversal of 7256960 is 696527.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 7256960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250226 + ... + 250254.

Almost surely, 2^7256960 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 7256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9914400).

7256960 is an abundant number, since it is smaller than the sum of its proper divisors (12571840).

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

7256960 is a wasteful number, since it uses less digits than its factorization.

7256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 7256960 is about 2693.8745330843. The cubic root of 7256960 is about 193.6057462493.

The spelling of 7256960 in words is "seven million, two hundred fifty-six thousand, nine hundred sixty".