91974400 has 108 divisors (see below), whose sum is σ = 260299312. Its totient is φ = 31518720.

The previous prime is 91974371. The next prime is 91974409. The reversal of 91974400 is 447919.

It is not an unprimeable number, because it can be changed into a prime (91974409) 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 11 ways as a sum of consecutive naturals, for example, 43774 + ... + 45826.

Almost surely, 2^91974400 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 91974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130149656).

91974400 is an abundant number, since it is smaller than the sum of its proper divisors (168324912).

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

91974400 is a wasteful number, since it uses less digits than its factorization.

91974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 91974400 is about 9590.3284615283. The cubic root of 91974400 is about 451.3938673621.

The spelling of 91974400 in words is "ninety-one million, nine hundred seventy-four thousand, four hundred".