93712896 has 80 divisors (see below), whose sum is σ = 277437600. Its totient is φ = 31233024.

The previous prime is 93712873. The next prime is 93712901. The reversal of 93712896 is 69821739.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10435 + ... + 17213.

It is an arithmetic number, because the mean of its divisors is an integer number (3467970).

Almost surely, 2^93712896 is an apocalyptic number.

93712896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93712896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138718800).

93712896 is an abundant number, since it is smaller than the sum of its proper divisors (183724704).

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

93712896 is an equidigital number, since it uses as much as digits as its factorization.

93712896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6806 (or 6784 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 93712896 is about 9680.5421335791. The cubic root of 93712896 is about 454.2202092399.

The spelling of 93712896 in words is "ninety-three million, seven hundred twelve thousand, eight hundred ninety-six".