952585920 has 560 divisors, whose sum is σ = 3996403488. Its totient is φ = 212336640.

The previous prime is 952585903. The next prime is 952585981. The reversal of 952585920 is 29585259.

952585920 is a `hidden beast` number, since 9 + 5 + 2 + 58 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3706432 + ... + 3706688.

Almost surely, 2^952585920 is an apocalyptic number.

952585920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998201744).

952585920 is an abundant number, since it is smaller than the sum of its proper divisors (3043817568).

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

952585920 is a wasteful number, since it uses less digits than its factorization.

952585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 952585920 is about 30863.9906687389. The cubic root of 952585920 is about 983.9387231324.

The spelling of 952585920 in words is "nine hundred fifty-two million, five hundred eighty-five thousand, nine hundred twenty".