93665920 has 64 divisors (see below), whose sum is σ = 237119400. Its totient is φ = 35258368.

The previous prime is 93665909. The next prime is 93665939. The reversal of 93665920 is 2956639.

It can be written as a sum of positive squares in 4 ways, for example, as 75620416 + 18045504 = 8696^2 + 4248^2 .

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

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

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, 6576 + ... + 15184.

Almost surely, 2^93665920 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 93665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118559700).

93665920 is an abundant number, since it is smaller than the sum of its proper divisors (143453480).

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

93665920 is a wasteful number, since it uses less digits than its factorization.

93665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645 (or 8633 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 93665920 is about 9678.1155190461. The cubic root of 93665920 is about 454.1443000329.

The spelling of 93665920 in words is "ninety-three million, six hundred sixty-five thousand, nine hundred twenty".