91972608 has 264 divisors, whose sum is σ = 313633152. Its totient is φ = 23740416.

The previous prime is 91972537. The next prime is 91972609. The reversal of 91972608 is 80627919.

It is a super-3 number, since 3×91972608³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 91972608.

It is not an unprimeable number, because it can be changed into a prime (91972609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1956841 + ... + 1956887.

Almost surely, 2^91972608 is an apocalyptic number.

91972608 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156816576).

91972608 is an abundant number, since it is smaller than the sum of its proper divisors (221660544).

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

91972608 is a wasteful number, since it uses less digits than its factorization.

91972608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 91972608 is about 9590.2350336162. The cubic root of 91972608 is about 451.3909357382.

The spelling of 91972608 in words is "ninety-one million, nine hundred seventy-two thousand, six hundred eight".