113578560 has 168 divisors, whose sum is σ = 395249400. Its totient is φ = 29933568.

The previous prime is 113578559. The next prime is 113578579. The reversal of 113578560 is 65875311.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 112021056 = 1248^2 + 10584^2 .

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

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, 325266 + ... + 325614.

It is an arithmetic number, because the mean of its divisors is an integer number (2352675).

Almost surely, 2^113578560 is an apocalyptic number.

113578560 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 113578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197624700).

113578560 is an abundant number, since it is smaller than the sum of its proper divisors (281670840).

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

113578560 is a wasteful number, since it uses less digits than its factorization.

113578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 113578560 is about 10657.3242420412. The cubic root of 113578560 is about 484.2825115675.

The spelling of 113578560 in words is "one hundred thirteen million, five hundred seventy-eight thousand, five hundred sixty".