91565664 has 48 divisors (see below), whose sum is σ = 240997680. Its totient is φ = 30440960.

The previous prime is 91565657. The next prime is 91565701. The reversal of 91565664 is 46656519.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 43222 + ... + 45290.

It is an arithmetic number, because the mean of its divisors is an integer number (5020785).

Almost surely, 2^91565664 is an apocalyptic number.

It is an amenable number.

91565664 is an abundant number, since it is smaller than the sum of its proper divisors (149432016).

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

91565664 is a wasteful number, since it uses less digits than its factorization.

91565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2535 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 91565664 is about 9568.9949315485. The cubic root of 91565664 is about 450.7242067135.

It can be divided in two parts, 91565 and 664, that added together give a palindrome (92229).

The spelling of 91565664 in words is "ninety-one million, five hundred sixty-five thousand, six hundred sixty-four".