91636560 has 120 divisors (see below), whose sum is σ = 310326120. Its totient is φ = 24231936.

The previous prime is 91636547. The next prime is 91636583. The reversal of 91636560 is 6563619.

91636560 is a `hidden beast` number, since 91 + 6 + 3 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 91470096 = 408^2 + 9564^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 98176 + ... + 99104.

It is an arithmetic number, because the mean of its divisors is an integer number (2586051).

Almost surely, 2^91636560 is an apocalyptic number.

91636560 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 91636560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155163060).

91636560 is an abundant number, since it is smaller than the sum of its proper divisors (218689560).

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

91636560 is a wasteful number, since it uses less digits than its factorization.

91636560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1076 counting only the distinct ones).

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

The square root of 91636560 is about 9572.6986790560. The cubic root of 91636560 is about 450.8405032174.

The spelling of 91636560 in words is "ninety-one million, six hundred thirty-six thousand, five hundred sixty".