113626080 has 144 divisors (see below), whose sum is σ = 408255120. Its totient is φ = 28698624.

The previous prime is 113626039. The next prime is 113626127. The reversal of 113626080 is 80626311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 25284 + ... + 29436.

It is an arithmetic number, because the mean of its divisors is an integer number (2835105).

Almost surely, 2^113626080 is an apocalyptic number.

113626080 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 113626080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204127560).

113626080 is an abundant number, since it is smaller than the sum of its proper divisors (294629040).

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

113626080 is a wasteful number, since it uses less digits than its factorization.

113626080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 113626080 is about 10659.5534615668. The cubic root of 113626080 is about 484.3500416137.

The spelling of 113626080 in words is "one hundred thirteen million, six hundred twenty-six thousand, eighty".