113826720 has 192 divisors, whose sum is σ = 431585280. Its totient is φ = 24634368.

The previous prime is 113826677. The next prime is 113826751. The reversal of 113826720 is 27628311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62949 + ... + 64731.

It is an arithmetic number, because the mean of its divisors is an integer number (2247840).

Almost surely, 2^113826720 is an apocalyptic number.

113826720 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 113826720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215792640).

113826720 is an abundant number, since it is smaller than the sum of its proper divisors (317758560).

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

113826720 is a wasteful number, since it uses less digits than its factorization.

113826720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 113826720 is about 10668.9605866738. The cubic root of 113826720 is about 484.6349610868.

The spelling of 113826720 in words is "one hundred thirteen million, eight hundred twenty-six thousand, seven hundred twenty".