113617440 has 72 divisors (see below), whose sum is σ = 387724428. Its totient is φ = 30297600.

The previous prime is 113617433. The next prime is 113617459. The reversal of 113617440 is 44716311.

It is a happy number.

113617440 is a `hidden beast` number, since 1 + 1 + 3 + 617 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110754576 + 2862864 = 10524^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38011 + ... + 40890.

Almost surely, 2^113617440 is an apocalyptic number.

113617440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113617440 is an abundant number, since it is smaller than the sum of its proper divisors (274106988).

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

113617440 is a wasteful number, since it uses less digits than its factorization.

113617440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78922 (or 78911 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 113617440 is about 10659.1481836027. The cubic root of 113617440 is about 484.3377648241.

The spelling of 113617440 in words is "one hundred thirteen million, six hundred seventeen thousand, four hundred forty".