93972096 has 64 divisors (see below), whose sum is σ = 277358400. Its totient is φ = 31322880.

The previous prime is 93972079. The next prime is 93972101. The reversal of 93972096 is 69027939.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10140 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (4333725).

Almost surely, 2^93972096 is an apocalyptic number.

93972096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

93972096 is an abundant number, since it is smaller than the sum of its proper divisors (183386304).

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

93972096 is a wasteful number, since it uses less digits than its factorization.

93972096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27214 (or 27196 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 93972096 is about 9693.9205690990. The cubic root of 93972096 is about 454.6385988221.

The spelling of 93972096 in words is "ninety-three million, nine hundred seventy-two thousand, ninety-six".