91681632 has 240 divisors, whose sum is σ = 320044032. Its totient is φ = 25194240.

The previous prime is 91681627. The next prime is 91681721. The reversal of 91681632 is 23618619.

91681632 is a `hidden beast` number, since 9 + 16 + 8 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562383 + ... + 562545.

Almost surely, 2^91681632 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 91681632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160022016).

91681632 is an abundant number, since it is smaller than the sum of its proper divisors (228362400).

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

91681632 is a wasteful number, since it uses less digits than its factorization.

91681632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 91681632 is about 9575.0525847120. The cubic root of 91681632 is about 450.9144073176.

The spelling of 91681632 in words is "ninety-one million, six hundred eighty-one thousand, six hundred thirty-two".