113993568 has 240 divisors, whose sum is σ = 384199200. Its totient is φ = 32845824.

The previous prime is 113993563. The next prime is 113993573. The reversal of 113993568 is 865399311.

It is an interprime number because it is at equal distance from previous prime (113993563) and next prime (113993573).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113993563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572733 + ... + 572931.

It is an arithmetic number, because the mean of its divisors is an integer number (1600830).

Almost surely, 2^113993568 is an apocalyptic number.

113993568 is a gapful number since it is divisible by the number (18) 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 113993568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192099600).

113993568 is an abundant number, since it is smaller than the sum of its proper divisors (270205632).

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

113993568 is a wasteful number, since it uses less digits than its factorization.

113993568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 113993568 is about 10676.7770417856. Note that the first 3 decimals coincide. The cubic root of 113993568 is about 484.8716392515.

The spelling of 113993568 in words is "one hundred thirteen million, nine hundred ninety-three thousand, five hundred sixty-eight".