113611680 has 576 divisors, whose sum is σ = 519886080. Its totient is φ = 22560768.

The previous prime is 113611679. The next prime is 113611691. The reversal of 113611680 is 86116311.

It is a super-2 number, since 2×113611680² = 25815227664844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6683032 + ... + 6683048.

It is an arithmetic number, because the mean of its divisors is an integer number (902580).

Almost surely, 2^113611680 is an apocalyptic number.

113611680 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 113611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259943040).

113611680 is an abundant number, since it is smaller than the sum of its proper divisors (406274400).

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

113611680 is a wasteful number, since it uses less digits than its factorization.

113611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 113611680 is about 10658.8779897323. The cubic root of 113611680 is about 484.3295799520.

Adding to 113611680 its reverse (86116311), we get a palindrome (199727991).

It can be divided in two parts, 11361 and 1680, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 113611680 in words is "one hundred thirteen million, six hundred eleven thousand, six hundred eighty".