113593680 has 60 divisors (see below), whose sum is σ = 381487860. Its totient is φ = 30291456.

The previous prime is 113593679. The next prime is 113593691. The reversal of 113593680 is 86395311.

It is a happy number.

113593680 is a `hidden beast` number, since 1 + 1 + 3 + 593 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68757264 + 44836416 = 8292^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78165 + ... + 79604.

It is an arithmetic number, because the mean of its divisors is an integer number (6358131).

Almost surely, 2^113593680 is an apocalyptic number.

113593680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113593680 is an abundant number, since it is smaller than the sum of its proper divisors (267894180).

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

113593680 is a wasteful number, since it uses less digits than its factorization.

113593680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157788 (or 157779 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 113593680 is about 10658.0335897388. The cubic root of 113593680 is about 484.3040004432.

The spelling of 113593680 in words is "one hundred thirteen million, five hundred ninety-three thousand, six hundred eighty".