93688320 has 160 divisors (see below), whose sum is σ = 327032640. Its totient is φ = 22691840.

The previous prime is 93688319. The next prime is 93688333. The reversal of 93688320 is 2388639.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83926 + ... + 85034.

It is an arithmetic number, because the mean of its divisors is an integer number (2043954).

Almost surely, 2^93688320 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 93688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163516320).

93688320 is an abundant number, since it is smaller than the sum of its proper divisors (233344320).

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

93688320 is a wasteful number, since it uses less digits than its factorization.

93688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 93688320 is about 9679.2726999501. The cubic root of 93688320 is about 454.1804996862.

The spelling of 93688320 in words is "ninety-three million, six hundred eighty-eight thousand, three hundred twenty".