93481920 has 168 divisors, whose sum is σ = 367552224. Its totient is φ = 21362688.

The previous prime is 93481903. The next prime is 93481931. The reversal of 93481920 is 2918439.

93481920 is a `hidden beast` number, since 93 + 481 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17842 + ... + 22478.

Almost surely, 2^93481920 is an apocalyptic number.

93481920 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 93481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183776112).

93481920 is an abundant number, since it is smaller than the sum of its proper divisors (274070304).

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

93481920 is a wasteful number, since it uses less digits than its factorization.

93481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 93481920 is about 9668.6048631641. The cubic root of 93481920 is about 453.8467270966.

The spelling of 93481920 in words is "ninety-three million, four hundred eighty-one thousand, nine hundred twenty".