113218560 has 528 divisors, whose sum is σ = 500712576. Its totient is φ = 23887872.

The previous prime is 113218537. The next prime is 113218561. The reversal of 113218560 is 65812311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 780 × 756 × 192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113218561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8709114 + ... + 8709126.

Almost surely, 2^113218560 is an apocalyptic number.

113218560 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 113218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250356288).

113218560 is an abundant number, since it is smaller than the sum of its proper divisors (387494016).

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

113218560 is an equidigital number, since it uses as much as digits as its factorization.

113218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 113218560 is about 10640.4210443008. The cubic root of 113218560 is about 483.7703074222.

It can be divided in two parts, 11321 and 8560, that added together give a square (19881 = 141²).

The spelling of 113218560 in words is "one hundred thirteen million, two hundred eighteen thousand, five hundred sixty".