91768000 has 56 divisors (see below), whose sum is σ = 227283264. Its totient is φ = 36704000.

The previous prime is 91767979. The next prime is 91768007. The reversal of 91768000 is 86719.

It is not an unprimeable number, because it can be changed into a prime (91768007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2265 + ... + 13735.

Almost surely, 2^91768000 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 91768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113641632).

91768000 is an abundant number, since it is smaller than the sum of its proper divisors (135515264).

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

91768000 is a wasteful number, since it uses less digits than its factorization.

91768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11498 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 91768000 is about 9579.5615766067. The cubic root of 91768000 is about 451.0559564004.

The spelling of 91768000 in words is "ninety-one million, seven hundred sixty-eight thousand".