968264160 has 48 divisors (see below), whose sum is σ = 3050033616. Its totient is φ = 258203648.

The previous prime is 968264119. The next prime is 968264161. The reversal of 968264160 is 61462869.

968264160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968264161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008129 + ... + 1009088.

It is an arithmetic number, because the mean of its divisors is an integer number (63542367).

Almost surely, 2^968264160 is an apocalyptic number.

It is an amenable number.

968264160 is an abundant number, since it is smaller than the sum of its proper divisors (2081769456).

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

968264160 is a wasteful number, since it uses less digits than its factorization.

968264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017235 (or 2017227 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 968264160 is about 31116.9432946104. The cubic root of 968264160 is about 989.3074638307.

The spelling of 968264160 in words is "nine hundred sixty-eight million, two hundred sixty-four thousand, one hundred sixty".