93616560 has 100 divisors (see below), whose sum is σ = 325166688. Its totient is φ = 24962688.

The previous prime is 93616541. The next prime is 93616577. The reversal of 93616560 is 6561639.

93616560 is a `hidden beast` number, since 93 + 6 + 1 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 744 + ... + 13703.

Almost surely, 2^93616560 is an apocalyptic number.

93616560 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 93616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162583344).

93616560 is an abundant number, since it is smaller than the sum of its proper divisors (231550128).

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

93616560 is a wasteful number, since it uses less digits than its factorization.

93616560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14472 (or 14457 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 93616560 is about 9675.5650997758. The cubic root of 93616560 is about 454.0645111353.

The spelling of 93616560 in words is "ninety-three million, six hundred sixteen thousand, five hundred sixty".