91641564 has 72 divisors (see below), whose sum is σ = 276395280. Its totient is φ = 26181792.

The previous prime is 91641547. The next prime is 91641607. The reversal of 91641564 is 46514619.

91641564 is a `hidden beast` number, since 9 + 1 + 641 + 5 + 6 + 4 = 666.

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, 3367 + ... + 13950.

Almost surely, 2^91641564 is an apocalyptic number.

It is an amenable number.

91641564 is an abundant number, since it is smaller than the sum of its proper divisors (184753716).

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

91641564 is a wasteful number, since it uses less digits than its factorization.

91641564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17344 (or 17329 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 91641564 is about 9572.9600437900. The cubic root of 91641564 is about 450.8487094211.

The spelling of 91641564 in words is "ninety-one million, six hundred forty-one thousand, five hundred sixty-four".