93393120 has 48 divisors (see below), whose sum is σ = 294189840. Its totient is φ = 24904704.

The previous prime is 93393107. The next prime is 93393149. The reversal of 93393120 is 2139339.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 96805 + ... + 97764.

It is an arithmetic number, because the mean of its divisors is an integer number (6128955).

Almost surely, 2^93393120 is an apocalyptic number.

It is an amenable number.

93393120 is an abundant number, since it is smaller than the sum of its proper divisors (200796720).

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

93393120 is a wasteful number, since it uses less digits than its factorization.

93393120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194587 (or 194579 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 93393120 is about 9664.0115893970. The cubic root of 93393120 is about 453.7029761012.

The spelling of 93393120 in words is "ninety-three million, three hundred ninety-three thousand, one hundred twenty".