968651400 has 96 divisors (see below), whose sum is σ = 3010119840. Its totient is φ = 257679360.

The previous prime is 968651399. The next prime is 968651441. The reversal of 968651400 is 4156869.

968651400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 278472 + ... + 281928.

It is an arithmetic number, because the mean of its divisors is an integer number (31355415).

Almost surely, 2^968651400 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 968651400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505059920).

968651400 is an abundant number, since it is smaller than the sum of its proper divisors (2041468440).

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

968651400 is a wasteful number, since it uses less digits than its factorization.

968651400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 968651400 is about 31123.1650061494. The cubic root of 968651400 is about 989.4393315510.

The spelling of 968651400 in words is "nine hundred sixty-eight million, six hundred fifty-one thousand, four hundred".