113655680 has 64 divisors (see below), whose sum is σ = 273160080. Its totient is φ = 45219840.

The previous prime is 113655667. The next prime is 113655697. The reversal of 113655680 is 86556311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×113655680² = 25835227192524800, which contains 22 as substring.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 113655680.

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 7 ways as a sum of consecutive naturals, for example, 164135 + ... + 164825.

Almost surely, 2^113655680 is an apocalyptic number.

113655680 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 113655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136580040).

113655680 is an abundant number, since it is smaller than the sum of its proper divisors (159504400).

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

113655680 is an equidigital number, since it uses as much as digits as its factorization.

113655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 113655680 is about 10660.9417970459. The cubic root of 113655680 is about 484.3920962679.

The spelling of 113655680 in words is "one hundred thirteen million, six hundred fifty-five thousand, six hundred eighty".