93831920 has 80 divisors (see below), whose sum is σ = 268524480. Its totient is φ = 29693952.

The previous prime is 93831901. The next prime is 93831931. The reversal of 93831920 is 2913839.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836 + ... + 13724.

It is an arithmetic number, because the mean of its divisors is an integer number (3356556).

Almost surely, 2^93831920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93831920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134262240).

93831920 is an abundant number, since it is smaller than the sum of its proper divisors (174692560).

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

93831920 is a wasteful number, since it uses less digits than its factorization.

93831920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12922 (or 12916 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 93831920 is about 9686.6877724019. The cubic root of 93831920 is about 454.4124283696.

The spelling of 93831920 in words is "ninety-three million, eight hundred thirty-one thousand, nine hundred twenty".