113790560 has 96 divisors (see below), whose sum is σ = 291991392. Its totient is φ = 41656320.

The previous prime is 113790557. The next prime is 113790583. The reversal of 113790560 is 65097311.

It is a super-2 number, since 2×113790560² = 25896583090227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472040 + ... + 472280.

It is an arithmetic number, because the mean of its divisors is an integer number (3041577).

Almost surely, 2^113790560 is an apocalyptic number.

113790560 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 113790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145995696).

113790560 is an abundant number, since it is smaller than the sum of its proper divisors (178200832).

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

113790560 is a wasteful number, since it uses less digits than its factorization.

113790560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 113790560 is about 10667.2658165061. The cubic root of 113790560 is about 484.5836367106.

The spelling of 113790560 in words is "one hundred thirteen million, seven hundred ninety thousand, five hundred sixty".