93983120 has 240 divisors, whose sum is σ = 292897920. Its totient is φ = 27371520.

The previous prime is 93983119. The next prime is 93983143. The reversal of 93983120 is 2138939.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1287404 + ... + 1287476.

It is an arithmetic number, because the mean of its divisors is an integer number (1220408).

Almost surely, 2^93983120 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 93983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146448960).

93983120 is an abundant number, since it is smaller than the sum of its proper divisors (198914800).

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

93983120 is a wasteful number, since it uses less digits than its factorization.

93983120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 93983120 is about 9694.4891562165. The cubic root of 93983120 is about 454.6563762268.

The spelling of 93983120 in words is "ninety-three million, nine hundred eighty-three thousand, one hundred twenty".