91601664 has 144 divisors (see below), whose sum is σ = 304147200. Its totient is φ = 23777280.

The previous prime is 91601611. The next prime is 91601669. The reversal of 91601664 is 46610619.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (91601669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58362 + ... + 59910.

Almost surely, 2^91601664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152073600).

91601664 is an abundant number, since it is smaller than the sum of its proper divisors (212545536).

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

91601664 is a wasteful number, since it uses less digits than its factorization.

91601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 91601664 is about 9570.8758219925. The cubic root of 91601664 is about 450.7832679551.

The spelling of 91601664 in words is "ninety-one million, six hundred one thousand, six hundred sixty-four".