113506880 has 56 divisors (see below), whose sum is σ = 276075648. Its totient is φ = 44430848.

The previous prime is 113506879. The next prime is 113506889. The reversal of 113506880 is 88605311.

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

It is not an unprimeable number, because it can be changed into a prime (113506889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11267 + ... + 18813.

Almost surely, 2^113506880 is an apocalyptic number.

113506880 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 113506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138037824).

113506880 is an abundant number, since it is smaller than the sum of its proper divisors (162568768).

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

113506880 is an equidigital number, since it uses as much as digits as its factorization.

113506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 113506880 is about 10653.9607658373. The cubic root of 113506880 is about 484.1806124192.

The spelling of 113506880 in words is "one hundred thirteen million, five hundred six thousand, eight hundred eighty".