965925520 has 80 divisors (see below), whose sum is σ = 2571085440. Its totient is φ = 330596352.

The previous prime is 965925517. The next prime is 965925547. The reversal of 965925520 is 25529569.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×965925520² = 1866024220374540800, which contains 22 as substring.

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, 429519 + ... + 431761.

It is an arithmetic number, because the mean of its divisors is an integer number (32138568).

Almost surely, 2^965925520 is an apocalyptic number.

965925520 is the 17944-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965925520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285542720).

965925520 is an abundant number, since it is smaller than the sum of its proper divisors (1605159920).

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

965925520 is a wasteful number, since it uses less digits than its factorization.

965925520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 43.

The square root of 965925520 is about 31079.3423353841. The cubic root of 965925520 is about 988.5103331486.

The spelling of 965925520 in words is "nine hundred sixty-five million, nine hundred twenty-five thousand, five hundred twenty".