113588640 has 288 divisors, whose sum is σ = 433060992. Its totient is φ = 26880000.

The previous prime is 113588627. The next prime is 113588641. The reversal of 113588640 is 46885311.

113588640 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 8 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 113588595 and 113588604.

It is not an unprimeable number, because it can be changed into a prime (113588641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124590 + ... + 1124690.

It is an arithmetic number, because the mean of its divisors is an integer number (1503684).

Almost surely, 2^113588640 is an apocalyptic number.

113588640 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 113588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216530496).

113588640 is an abundant number, since it is smaller than the sum of its proper divisors (319472352).

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

113588640 is a wasteful number, since it uses less digits than its factorization.

113588640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 113588640 is about 10657.7971457520. The cubic root of 113588640 is about 484.2968376965.

The spelling of 113588640 in words is "one hundred thirteen million, five hundred eighty-eight thousand, six hundred forty".