968520960 has 216 divisors, whose sum is σ = 3656094624. Its totient is φ = 234762240.

The previous prime is 968520871. The next prime is 968521013. The reversal of 968520960 is 69025869.

968520960 is a `hidden beast` number, since 9 + 68 + 520 + 9 + 60 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122899 + ... + 130541.

It is an arithmetic number, because the mean of its divisors is an integer number (16926364).

Almost surely, 2^968520960 is an apocalyptic number.

968520960 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 968520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828047312).

968520960 is an abundant number, since it is smaller than the sum of its proper divisors (2687573664).

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

968520960 is a wasteful number, since it uses less digits than its factorization.

968520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 968520960 is about 31121.0693903664. The cubic root of 968520960 is about 989.3949164463.

The spelling of 968520960 in words is "nine hundred sixty-eight million, five hundred twenty thousand, nine hundred sixty".