91665600 has 252 divisors, whose sum is σ = 328534776. Its totient is φ = 22364160.

The previous prime is 91665583. The next prime is 91665601. The reversal of 91665600 is 656619.

It is not an unprimeable number, because it can be changed into a prime (91665601) 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 35 ways as a sum of consecutive naturals, for example, 811144 + ... + 811256.

Almost surely, 2^91665600 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 91665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164267388).

91665600 is an abundant number, since it is smaller than the sum of its proper divisors (236869176).

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

91665600 is a wasteful number, since it uses less digits than its factorization.

91665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 91665600 is about 9574.2153725514. The cubic root of 91665600 is about 450.8881225863. Note that the first 3 decimals are identical.

The spelling of 91665600 in words is "ninety-one million, six hundred sixty-five thousand, six hundred".