93120384 has 160 divisors (see below), whose sum is σ = 291416040. Its totient is φ = 26342400.

The previous prime is 93120383. The next prime is 93120397. The reversal of 93120384 is 48302139.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93120383) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 921934 + ... + 922034.

Almost surely, 2^93120384 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 93120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145708020).

93120384 is an abundant number, since it is smaller than the sum of its proper divisors (198295656).

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

93120384 is an equidigital number, since it uses as much as digits as its factorization.

93120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 93120384 is about 9649.8903620715. The cubic root of 93120384 is about 453.2608957692.

The spelling of 93120384 in words is "ninety-three million, one hundred twenty thousand, three hundred eighty-four".