93720960 has 192 divisors, whose sum is σ = 330810480. Its totient is φ = 24440832.

The previous prime is 93720943. The next prime is 93720971. The reversal of 93720960 is 6902739.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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, 305127 + ... + 305433.

Almost surely, 2^93720960 is an apocalyptic number.

93720960 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 93720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165405240).

93720960 is an abundant number, since it is smaller than the sum of its proper divisors (237089520).

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

93720960 is a wasteful number, since it uses less digits than its factorization.

93720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 93720960 is about 9680.9586302184. The cubic root of 93720960 is about 454.2332374244.

The spelling of 93720960 in words is "ninety-three million, seven hundred twenty thousand, nine hundred sixty".