113612560 has 40 divisors (see below), whose sum is σ = 265708440. Its totient is φ = 45176832.

The previous prime is 113612531. The next prime is 113612563. The reversal of 113612560 is 65216311.

It can be written as a sum of positive squares in 4 ways, for example, as 10061584 + 103550976 = 3172^2 + 10176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (113612563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9736 + ... + 17944.

It is an arithmetic number, because the mean of its divisors is an integer number (6642711).

Almost surely, 2^113612560 is an apocalyptic number.

113612560 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 113612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132854220).

113612560 is an abundant number, since it is smaller than the sum of its proper divisors (152095880).

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

113612560 is a wasteful number, since it uses less digits than its factorization.

113612560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 113612560 is about 10658.9192697947. The cubic root of 113612560 is about 484.3308304365.

Adding to 113612560 its reverse (65216311), we get a palindrome (178828871).

The spelling of 113612560 in words is "one hundred thirteen million, six hundred twelve thousand, five hundred sixty".