91684872 has 112 divisors (see below), whose sum is σ = 262320000. Its totient is φ = 30023136.

The previous prime is 91684867. The next prime is 91684903. The reversal of 91684872 is 27848619.

91684872 is a `hidden beast` number, since 9 + 168 + 487 + 2 = 666.

It is a super-2 number, since 2×91684872² = 16812231507312768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 460629 + ... + 460827.

Almost surely, 2^91684872 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 91684872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131160000).

91684872 is an abundant number, since it is smaller than the sum of its proper divisors (170635128).

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

91684872 is a wasteful number, since it uses less digits than its factorization.

91684872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 91684872 is about 9575.2217728886. The cubic root of 91684872 is about 450.9197189794.

The spelling of 91684872 in words is "ninety-one million, six hundred eighty-four thousand, eight hundred seventy-two".