113368580 has 72 divisors (see below), whose sum is σ = 273098952. Its totient is φ = 39376896.

The previous prime is 113368571. The next prime is 113368589. The reversal of 113368580 is 85863311.

It is an interprime number because it is at equal distance from previous prime (113368571) and next prime (113368589).

It can be written as a sum of positive squares in 12 ways, for example, as 64899136 + 48469444 = 8056^2 + 6962^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113368580.

It is not an unprimeable number, because it can be changed into a prime (113368589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56474 + ... + 58446.

It is an arithmetic number, because the mean of its divisors is an integer number (3793041).

Almost surely, 2^113368580 is an apocalyptic number.

113368580 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 113368580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136549476).

113368580 is an abundant number, since it is smaller than the sum of its proper divisors (159730372).

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

113368580 is a wasteful number, since it uses less digits than its factorization.

113368580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 113368580 is about 10647.4682436718. The cubic root of 113368580 is about 483.9838860378.

The spelling of 113368580 in words is "one hundred thirteen million, three hundred sixty-eight thousand, five hundred eighty".