93985920 has 480 divisors, whose sum is σ = 400991580. Its totient is φ = 20901888.

The previous prime is 93985891. The next prime is 93985939. The reversal of 93985920 is 2958939.

It can be written as a sum of positive squares in 2 ways, for example, as 91699776 + 2286144 = 9576^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2540142 + ... + 2540178.

Almost surely, 2^93985920 is an apocalyptic number.

93985920 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 93985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200495790).

93985920 is an abundant number, since it is smaller than the sum of its proper divisors (307005660).

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

93985920 is a wasteful number, since it uses less digits than its factorization.

93985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 93985920 is about 9694.6335670824. The cubic root of 93985920 is about 454.6608913114.

The spelling of 93985920 in words is "ninety-three million, nine hundred eighty-five thousand, nine hundred twenty".