113668632 has 288 divisors, whose sum is σ = 408142800. Its totient is φ = 28224000.

The previous prime is 113668627. The next prime is 113668679. The reversal of 113668632 is 236866311.

113668632 is a `hidden beast` number, since 1 + 13 + 6 + 6 + 8 + 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 71 ways as a sum of consecutive naturals, for example, 1125382 + ... + 1125482.

Almost surely, 2^113668632 is an apocalyptic number.

113668632 is a gapful number since it is divisible by the number (12) 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 113668632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204071400).

113668632 is an abundant number, since it is smaller than the sum of its proper divisors (294474168).

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

113668632 is a wasteful number, since it uses less digits than its factorization.

113668632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 113668632 is about 10661.5492307638. The cubic root of 113668632 is about 484.4104957241.

The spelling of 113668632 in words is "one hundred thirteen million, six hundred sixty-eight thousand, six hundred thirty-two".