113806560 has 96 divisors (see below), whose sum is σ = 409715712. Its totient is φ = 26012160.

The previous prime is 113806559. The next prime is 113806571. The reversal of 113806560 is 65608311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13576 + ... + 20295.

It is an arithmetic number, because the mean of its divisors is an integer number (4267872).

Almost surely, 2^113806560 is an apocalyptic number.

113806560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113806560 is an abundant number, since it is smaller than the sum of its proper divisors (295909152).

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

113806560 is a wasteful number, since it uses less digits than its factorization.

113806560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33896 (or 33888 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 113806560 is about 10668.0157480199. The cubic root of 113806560 is about 484.6063479525.

The spelling of 113806560 in words is "one hundred thirteen million, eight hundred six thousand, five hundred sixty".