113984768 has 72 divisors (see below), whose sum is σ = 240178176. Its totient is φ = 53913600.

The previous prime is 113984747. The next prime is 113984771. The reversal of 113984768 is 867489311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420473 + ... + 420743.

It is an arithmetic number, because the mean of its divisors is an integer number (3335808).

Almost surely, 2^113984768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120089088).

113984768 is an abundant number, since it is smaller than the sum of its proper divisors (126193408).

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

113984768 is an equidigital number, since it uses as much as digits as its factorization.

113984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 113984768 is about 10676.3649244488. The cubic root of 113984768 is about 484.8591619972.

The spelling of 113984768 in words is "one hundred thirteen million, nine hundred eighty-four thousand, seven hundred sixty-eight".