96388200 has 72 divisors (see below), whose sum is σ = 323709750. Its totient is φ = 25703040.

The previous prime is 96388189. The next prime is 96388223. The reversal of 96388200 is 288369.

It can be written as a sum of positive squares in 3 ways, for example, as 38415204 + 57972996 = 6198^2 + 7614^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24975 + ... + 28574.

Almost surely, 2^96388200 is an apocalyptic number.

96388200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96388200 is an abundant number, since it is smaller than the sum of its proper divisors (227321550).

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

96388200 is a wasteful number, since it uses less digits than its factorization.

96388200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53571 (or 53559 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 96388200 is about 9817.7492328945. The cubic root of 96388200 is about 458.5020587246.

The spelling of 96388200 in words is "ninety-six million, three hundred eighty-eight thousand, two hundred".