7556960 has 48 divisors (see below), whose sum is σ = 18125856. Its totient is φ = 2976768.

The previous prime is 7556957. The next prime is 7556971. The reversal of 7556960 is 696557.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11357 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (377622).

Almost surely, 2^7556960 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 7556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9062928).

7556960 is an abundant number, since it is smaller than the sum of its proper divisors (10568896).

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

7556960 is a wasteful number, since it uses less digits than its factorization.

7556960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 7556960 is about 2748.9925427327. The cubic root of 7556960 is about 196.2376680961.

The spelling of 7556960 in words is "seven million, five hundred fifty-six thousand, nine hundred sixty".