113657616 has 120 divisors (see below), whose sum is σ = 328590080. Its totient is φ = 36661248.

The previous prime is 113657603. The next prime is 113657629. The reversal of 113657616 is 616756311.

113657616 is a `hidden beast` number, since 1 + 1 + 36 + 5 + 7 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (113657603) and next prime (113657629).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1103421 + ... + 1103523.

Almost surely, 2^113657616 is an apocalyptic number.

113657616 is a gapful number since it is divisible by the number (16) 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 113657616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164295040).

113657616 is an abundant number, since it is smaller than the sum of its proper divisors (214932464).

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

113657616 is a wasteful number, since it uses less digits than its factorization.

113657616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 113657616 is about 10661.0325953915. The cubic root of 113657616 is about 484.3948466152.

It can be divided in two parts, 11365 and 7616, that added together give a palindrome (18981).

The spelling of 113657616 in words is "one hundred thirteen million, six hundred fifty-seven thousand, six hundred sixteen".