113670720 has 168 divisors, whose sum is σ = 404759160. Its totient is φ = 29245440.

The previous prime is 113670719. The next prime is 113670779. The reversal of 113670720 is 27076311.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 111007296 = 1632^2 + 10536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82840 + ... + 84200.

Almost surely, 2^113670720 is an apocalyptic number.

113670720 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 113670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202379580).

113670720 is an abundant number, since it is smaller than the sum of its proper divisors (291088440).

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

113670720 is a wasteful number, since it uses less digits than its factorization.

113670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 113670720 is about 10661.6471522931. The cubic root of 113670720 is about 484.4134617811.

The spelling of 113670720 in words is "one hundred thirteen million, six hundred seventy thousand, seven hundred twenty".