968970400 has 72 divisors (see below), whose sum is σ = 2369848320. Its totient is φ = 386876160.

The previous prime is 968970397. The next prime is 968970407. The reversal of 968970400 is 4079869.

It is not an unprimeable number, because it can be changed into a prime (968970407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 756961 + ... + 758239.

It is an arithmetic number, because the mean of its divisors is an integer number (32914560).

Almost surely, 2^968970400 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 968970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184924160).

968970400 is an abundant number, since it is smaller than the sum of its proper divisors (1400877920).

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

968970400 is a wasteful number, since it uses less digits than its factorization.

968970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 968970400 is about 31128.2893844169. The cubic root of 968970400 is about 989.5479349505.

It can be divided in two parts, 9689 and 70400, that added together give a square (80089 = 283²).

The spelling of 968970400 in words is "nine hundred sixty-eight million, nine hundred seventy thousand, four hundred".