93836960 has 72 divisors (see below), whose sum is σ = 257905620. Its totient is φ = 32169984.

The previous prime is 93836947. The next prime is 93836983. The reversal of 93836960 is 6963839.

It can be written as a sum of positive squares in 2 ways, for example, as 84860944 + 8976016 = 9212^2 + 2996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1856 + ... + 13824.

Almost surely, 2^93836960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128952810).

93836960 is an abundant number, since it is smaller than the sum of its proper divisors (164068660).

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

93836960 is a wasteful number, since it uses less digits than its factorization.

93836960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11998 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 93836960 is about 9686.9479197526. The cubic root of 93836960 is about 454.4205641854.

The spelling of 93836960 in words is "ninety-three million, eight hundred thirty-six thousand, nine hundred sixty".