968701824 has 96 divisors (see below), whose sum is σ = 2825971200. Its totient is φ = 318449664.

The previous prime is 968701817. The next prime is 968701841. The reversal of 968701824 is 428107869.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 968701824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78337 + ... + 89855.

It is an arithmetic number, because the mean of its divisors is an integer number (29437200).

Almost surely, 2^968701824 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 968701824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412985600).

968701824 is an abundant number, since it is smaller than the sum of its proper divisors (1857269376).

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

968701824 is a wasteful number, since it uses less digits than its factorization.

968701824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11612 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 968701824 is about 31123.9750674621. The cubic root of 968701824 is about 989.4564999644.

The spelling of 968701824 in words is "nine hundred sixty-eight million, seven hundred one thousand, eight hundred twenty-four".