113568480 has 288 divisors, whose sum is σ = 422682624. Its totient is φ = 28740096.

The previous prime is 113568467. The next prime is 113568493. The reversal of 113568480 is 84865311.

113568480 is a `hidden beast` number, since 1 + 13 + 568 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (113568467) and next prime (113568493).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894177 + ... + 894303.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648).

Almost surely, 2^113568480 is an apocalyptic number.

113568480 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 113568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

113568480 is an abundant number, since it is smaller than the sum of its proper divisors (309114144).

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

113568480 is a wasteful number, since it uses less digits than its factorization.

113568480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 113568480 is about 10656.8513173451. The cubic root of 113568480 is about 484.2681845909.

The spelling of 113568480 in words is "one hundred thirteen million, five hundred sixty-eight thousand, four hundred eighty".