113979600 has 180 divisors, whose sum is σ = 452146656. Its totient is φ = 26046720.

The previous prime is 113979589. The next prime is 113979601. The reversal of 113979600 is 6979311.

113979600 is a `hidden beast` number, since 11 + 39 + 7 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113979601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22939 + ... + 27461.

Almost surely, 2^113979600 is an apocalyptic number.

113979600 is a gapful number since it is divisible by the number (10) 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 113979600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226073328).

113979600 is an abundant number, since it is smaller than the sum of its proper divisors (338167056).

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

113979600 is a wasteful number, since it uses less digits than its factorization.

113979600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 113979600 is about 10676.1228917618. The cubic root of 113979600 is about 484.8518341467.

The spelling of 113979600 in words is "one hundred thirteen million, nine hundred seventy-nine thousand, six hundred".