93900960 has 144 divisors (see below), whose sum is σ = 325994760. Its totient is φ = 24606720.

The previous prime is 93900959. The next prime is 93900977. The reversal of 93900960 is 6900939.

It can be written as a sum of positive squares in 4 ways, for example, as 47279376 + 46621584 = 6876^2 + 6828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 87306 + ... + 88374.

Almost surely, 2^93900960 is an apocalyptic number.

93900960 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 93900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162997380).

93900960 is an abundant number, since it is smaller than the sum of its proper divisors (232093800).

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

93900960 is a wasteful number, since it uses less digits than its factorization.

93900960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 93900960 is about 9690.2507707489. The cubic root of 93900960 is about 454.5238508035.

The spelling of 93900960 in words is "ninety-three million, nine hundred thousand, nine hundred sixty".