968016560 has 240 divisors, whose sum is σ = 2832006240. Its totient is φ = 305786880.

The previous prime is 968016523. The next prime is 968016563. The reversal of 968016560 is 65610869.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (968016563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3053522 + ... + 3053838.

It is an arithmetic number, because the mean of its divisors is an integer number (11800026).

Almost surely, 2^968016560 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 968016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416003120).

968016560 is an abundant number, since it is smaller than the sum of its proper divisors (1863989680).

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

968016560 is a wasteful number, since it uses less digits than its factorization.

968016560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 968016560 is about 31112.9645003494. The cubic root of 968016560 is about 989.2231296099.

The spelling of 968016560 in words is "nine hundred sixty-eight million, sixteen thousand, five hundred sixty".