113638068 has 18 divisors (see below), whose sum is σ = 287251874. Its totient is φ = 37879344.

The previous prime is 113638051. The next prime is 113638073. The reversal of 113638068 is 860836311.

113638068 is a `hidden beast` number, since 1 + 13 + 638 + 0 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111260304 + 2377764 = 10548^2 + 1542^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×113638068² = 25827220997545248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3156613 = 113638068 / (1 + 1 + 3 + 6 + 3 + 8 + 0 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1578271 + ... + 1578342.

Almost surely, 2^113638068 is an apocalyptic number.

113638068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113638068 is an abundant number, since it is smaller than the sum of its proper divisors (173613806).

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

113638068 is a wasteful number, since it uses less digits than its factorization.

113638068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156623 (or 3156618 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 113638068 is about 10660.1157592214. The cubic root of 113638068 is about 484.3670746286.

It can be divided in two parts, 1136 and 38068, that added together give a square (39204 = 198²).

The spelling of 113638068 in words is "one hundred thirteen million, six hundred thirty-eight thousand, sixty-eight".