968408640 has 84 divisors (see below), whose sum is σ = 3330932124. Its totient is φ = 258241536.

The previous prime is 968408599. The next prime is 968408653. The reversal of 968408640 is 46804869.

It is a happy number.

968408640 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 2 ways, for example, as 170459136 + 797949504 = 13056^2 + 28248^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 165247 + ... + 171006.

Almost surely, 2^968408640 is an apocalyptic number.

968408640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

968408640 is an abundant number, since it is smaller than the sum of its proper divisors (2362523484).

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

968408640 is a wasteful number, since it uses less digits than its factorization.

968408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336276 (or 336263 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 968408640 is about 31119.2647728059. The cubic root of 968408640 is about 989.3566680456.

The spelling of 968408640 in words is "nine hundred sixty-eight million, four hundred eight thousand, six hundred forty".