113486880 has 144 divisors (see below), whose sum is σ = 387374400. Its totient is φ = 27915264.

The previous prime is 113486873. The next prime is 113486903. The reversal of 113486880 is 88684311.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 80421 + ... + 81819.

It is an arithmetic number, because the mean of its divisors is an integer number (2690100).

Almost surely, 2^113486880 is an apocalyptic number.

113486880 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 113486880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193687200).

113486880 is an abundant number, since it is smaller than the sum of its proper divisors (273887520).

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

113486880 is a wasteful number, since it uses less digits than its factorization.

113486880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 113486880 is about 10653.0221064260. The cubic root of 113486880 is about 484.1521730828.

The spelling of 113486880 in words is "one hundred thirteen million, four hundred eighty-six thousand, eight hundred eighty".