113506560 has 216 divisors, whose sum is σ = 401768640. Its totient is φ = 29577216.

The previous prime is 113506537. The next prime is 113506571. The reversal of 113506560 is 65605311.

It is a happy number.

113506560 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 0 + 656 + 0 = 666.

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, 679597 + ... + 679763.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2^113506560 is an apocalyptic number.

113506560 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 113506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884320).

113506560 is an abundant number, since it is smaller than the sum of its proper divisors (288262080).

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

113506560 is a wasteful number, since it uses less digits than its factorization.

113506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 113506560 is about 10653.9457479377. The cubic root of 113506560 is about 484.1801574161.

The spelling of 113506560 in words is "one hundred thirteen million, five hundred six thousand, five hundred sixty".