113835680 has 192 divisors, whose sum is σ = 328188672. Its totient is φ = 36495360.

The previous prime is 113835677. The next prime is 113835691. The reversal of 113835680 is 86538311.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 113835680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1699007 + ... + 1699073.

It is an arithmetic number, because the mean of its divisors is an integer number (1709316).

Almost surely, 2^113835680 is an apocalyptic number.

113835680 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 113835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164094336).

113835680 is an abundant number, since it is smaller than the sum of its proper divisors (214352992).

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

113835680 is a wasteful number, since it uses less digits than its factorization.

113835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 113835680 is about 10669.3804881071. The cubic root of 113835680 is about 484.6476769509.

The spelling of 113835680 in words is "one hundred thirteen million, eight hundred thirty-five thousand, six hundred eighty".