113706640 has 80 divisors (see below), whose sum is σ = 280339200. Its totient is φ = 42771456.

The previous prime is 113706617. The next prime is 113706673. The reversal of 113706640 is 46607311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 113706599 and 113706608.

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 15 ways as a sum of consecutive naturals, for example, 363124 + ... + 363436.

It is an arithmetic number, because the mean of its divisors is an integer number (3504240).

Almost surely, 2^113706640 is an apocalyptic number.

113706640 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 113706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140169600).

113706640 is an abundant number, since it is smaller than the sum of its proper divisors (166632560).

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

113706640 is a wasteful number, since it uses less digits than its factorization.

113706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 113706640 is about 10663.3315619463. The cubic root of 113706640 is about 484.4644813666.

The spelling of 113706640 in words is "one hundred thirteen million, seven hundred six thousand, six hundred forty".