91465968 has 80 divisors (see below), whose sum is σ = 259304832. Its totient is φ = 27552000.

The previous prime is 91465951. The next prime is 91465973. The reversal of 91465968 is 86956419.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110998 + ... + 111818.

Almost surely, 2^91465968 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 91465968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129652416).

91465968 is an abundant number, since it is smaller than the sum of its proper divisors (167838864).

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

91465968 is a wasteful number, since it uses less digits than its factorization.

91465968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 91465968 is about 9563.7841882803. The cubic root of 91465968 is about 450.5605656102.

The spelling of 91465968 in words is "ninety-one million, four hundred sixty-five thousand, nine hundred sixty-eight".