93661920 has 336 divisors, whose sum is σ = 366880752. Its totient is φ = 22394880.

The previous prime is 93661873. The next prime is 93661933. The reversal of 93661920 is 2916639.

93661920 is a `hidden beast` number, since 9 + 36 + 619 + 2 + 0 = 666.

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 55 ways as a sum of consecutive naturals, for example, 1283004 + ... + 1283076.

It is an arithmetic number, because the mean of its divisors is an integer number (1091907).

Almost surely, 2^93661920 is an apocalyptic number.

93661920 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 93661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183440376).

93661920 is an abundant number, since it is smaller than the sum of its proper divisors (273218832).

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

93661920 is a wasteful number, since it uses less digits than its factorization.

93661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 93661920 is about 9677.9088650390. The cubic root of 93661920 is about 454.1378352018.

It can be divided in two parts, 936619 and 20, that added together give a palindrome (936639).

The spelling of 93661920 in words is "ninety-three million, six hundred sixty-one thousand, nine hundred twenty".