91755664 has 160 divisors (see below), whose sum is σ = 253483776. Its totient is φ = 30965760.

The previous prime is 91755659. The next prime is 91755673. The reversal of 91755664 is 46655719.

It is a self number, because there is not a number n which added to its sum of digits gives 91755664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272104 + ... + 272440.

Almost surely, 2^91755664 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 91755664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

91755664 is an abundant number, since it is smaller than the sum of its proper divisors (161728112).

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

91755664 is a wasteful number, since it uses less digits than its factorization.

91755664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its digits is 226800, while the sum is 43.

The square root of 91755664 is about 9578.9176841645. The cubic root of 91755664 is about 451.0357442872.

The spelling of 91755664 in words is "ninety-one million, seven hundred fifty-five thousand, six hundred sixty-four".