93981120 has 112 divisors (see below), whose sum is σ = 300410880. Its totient is φ = 24892416.

The previous prime is 93981109. The next prime is 93981131. The reversal of 93981120 is 2118939.

It is an interprime number because it is at equal distance from previous prime (93981109) and next prime (93981131).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 213861 + ... + 214299.

It is an arithmetic number, because the mean of its divisors is an integer number (2682240).

Almost surely, 2^93981120 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 93981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

93981120 is an abundant number, since it is smaller than the sum of its proper divisors (206429760).

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

93981120 is a wasteful number, since it uses less digits than its factorization.

93981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 93981120 is about 9694.3860042810. The cubic root of 93981120 is about 454.6531511115.

The spelling of 93981120 in words is "ninety-three million, nine hundred eighty-one thousand, one hundred twenty".