961875520 has 56 divisors (see below), whose sum is σ = 2313221688. Its totient is φ = 380928000.

The previous prime is 961875503. The next prime is 961875581. The reversal of 961875520 is 25578169.

It can be written as a sum of positive squares in 4 ways, for example, as 163021824 + 798853696 = 12768^2 + 28264^2 .

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, 17440 + ... + 47200.

Almost surely, 2^961875520 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 961875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156610844).

961875520 is an abundant number, since it is smaller than the sum of its proper divisors (1351346168).

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

961875520 is a wasteful number, since it uses less digits than its factorization.

961875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29879 (or 29869 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The square root of 961875520 is about 31014.1180754830. The cubic root of 961875520 is about 987.1268326699.

The spelling of 961875520 in words is "nine hundred sixty-one million, eight hundred seventy-five thousand, five hundred twenty".