96768400 has 30 divisors (see below), whose sum is σ = 232487042. Its totient is φ = 38707200.

The previous prime is 96768377. The next prime is 96768401. The reversal of 96768400 is 486769.

It can be written as a sum of positive squares in 3 ways, for example, as 571536 + 96196864 = 756^2 + 9808^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (96768401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120561 + ... + 121360.

Almost surely, 2^96768400 is an apocalyptic number.

It is an amenable number.

96768400 is an abundant number, since it is smaller than the sum of its proper divisors (135718642).

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

96768400 is a wasteful number, since it uses less digits than its factorization.

96768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241939 (or 241928 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 96768400 is about 9837.0930665517. The cubic root of 96768400 is about 459.1041164476.

The spelling of 96768400 in words is "ninety-six million, seven hundred sixty-eight thousand, four hundred".