968390464 has 14 divisors (see below), whose sum is σ = 1921649954. Its totient is φ = 484195200.

The previous prime is 968390443. The next prime is 968390497. The reversal of 968390464 is 464093869.

968390464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 625400064 + 342990400 = 25008^2 + 18520^2 .

It is a super-2 number, since 2×968390464² = 1875560181532270592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7565487 + ... + 7565614.

It is an arithmetic number, because the mean of its divisors is an integer number (137260711).

Almost surely, 2^968390464 is an apocalyptic number.

It is an amenable number.

968390464 is a deficient number, since it is larger than the sum of its proper divisors (953259490).

968390464 is a wasteful number, since it uses less digits than its factorization.

968390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15131113 (or 15131103 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The square root of 968390464 is about 31118.9727336877. The cubic root of 968390464 is about 989.3504782828.

The spelling of 968390464 in words is "nine hundred sixty-eight million, three hundred ninety thousand, four hundred sixty-four".