93921120 has 120 divisors (see below), whose sum is σ = 331509024. Its totient is φ = 25042176.

The previous prime is 93921101. The next prime is 93921131. The reversal of 93921120 is 2112939.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9337 + ... + 16583.

Almost surely, 2^93921120 is an apocalyptic number.

93921120 is a gapful number since it is divisible by the number (90) 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 93921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165754512).

93921120 is an abundant number, since it is smaller than the sum of its proper divisors (237587904).

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

93921120 is a wasteful number, since it uses less digits than its factorization.

93921120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 93921120 is about 9691.2909356803. The cubic root of 93921120 is about 454.5563763679.

The spelling of 93921120 in words is "ninety-three million, nine hundred twenty-one thousand, one hundred twenty".