93934080 has 240 divisors, whose sum is σ = 339603264. Its totient is φ = 24883200.

The previous prime is 93934079. The next prime is 93934097. The reversal of 93934080 is 8043939.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×93934080² = 17647222770892800, which contains 22 as substring.

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

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, 622005 + ... + 622155.

Almost surely, 2^93934080 is an apocalyptic number.

93934080 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 93934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169801632).

93934080 is an abundant number, since it is smaller than the sum of its proper divisors (245669184).

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

93934080 is an equidigital number, since it uses as much as digits as its factorization.

93934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 93934080 is about 9691.9595541872. The cubic root of 93934080 is about 454.5772832015.

The spelling of 93934080 in words is "ninety-three million, nine hundred thirty-four thousand, eighty".