93679920 has 120 divisors (see below), whose sum is σ = 328345056. Its totient is φ = 23890944.

The previous prime is 93679919. The next prime is 93679931. The reversal of 93679920 is 2997639.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×93679920² = 17551854822412800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 13732 + ... + 19388.

Almost surely, 2^93679920 is an apocalyptic number.

93679920 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 93679920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164172528).

93679920 is an abundant number, since it is smaller than the sum of its proper divisors (234665136).

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

93679920 is a wasteful number, since it uses less digits than its factorization.

93679920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5699 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 93679920 is about 9678.8387733240. The cubic root of 93679920 is about 454.1669254925.

The spelling of 93679920 in words is "ninety-three million, six hundred seventy-nine thousand, nine hundred twenty".