113766744 has 96 divisors (see below), whose sum is σ = 352062720. Its totient is φ = 29996928.

The previous prime is 113766733. The next prime is 113766761. The reversal of 113766744 is 447667311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (84672) is a multiple of the sum of its prime divisors (4032).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26389 + ... + 30395.

It is an arithmetic number, because the mean of its divisors is an integer number (3667320).

Almost surely, 2^113766744 is an apocalyptic number.

113766744 is a gapful number since it is divisible by the number (14) 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 113766744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176031360).

113766744 is an abundant number, since it is smaller than the sum of its proper divisors (238295976).

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

113766744 is a wasteful number, since it uses less digits than its factorization.

With its successor (113766745) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4032).

113766744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4032 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 113766744 is about 10666.1494457935. The cubic root of 113766744 is about 484.5498270836.

The spelling of 113766744 in words is "one hundred thirteen million, seven hundred sixty-six thousand, seven hundred forty-four".