952932960 has 576 divisors, whose sum is σ = 4041902592. Its totient is φ = 199507968.

The previous prime is 952932887. The next prime is 952933063. The reversal of 952932960 is 69239259.

952932960 is a `hidden beast` number, since 9 + 529 + 32 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11481079 + ... + 11481161.

It is an arithmetic number, because the mean of its divisors is an integer number (7017192).

Almost surely, 2^952932960 is an apocalyptic number.

952932960 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 952932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020951296).

952932960 is an abundant number, since it is smaller than the sum of its proper divisors (3088969632).

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

952932960 is a wasteful number, since it uses less digits than its factorization.

952932960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 952932960 is about 30869.6122424627. The cubic root of 952932960 is about 984.0581960425.

The spelling of 952932960 in words is "nine hundred fifty-two million, nine hundred thirty-two thousand, nine hundred sixty".