113180864 has 56 divisors (see below), whose sum is σ = 233007408. Its totient is φ = 54512640.

The previous prime is 113180863. The next prime is 113180867. The reversal of 113180864 is 468081311.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113180864.

It is not an unprimeable number, because it can be changed into a prime (113180863) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 206639 + ... + 207185.

Almost surely, 2^113180864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116503704).

113180864 is an abundant number, since it is smaller than the sum of its proper divisors (119826544).

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

113180864 is an equidigital number, since it uses as much as digits as its factorization.

113180864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 113180864 is about 10638.6495383578. The cubic root of 113180864 is about 483.7166111914.

The spelling of 113180864 in words is "one hundred thirteen million, one hundred eighty thousand, eight hundred sixty-four".