113774880 has 192 divisors, whose sum is σ = 386684928. Its totient is φ = 28016640.

The previous prime is 113774879. The next prime is 113774887. The reversal of 113774880 is 88477311.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (113774887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595585 + ... + 595775.

It is an arithmetic number, because the mean of its divisors is an integer number (2013984).

Almost surely, 2^113774880 is an apocalyptic number.

113774880 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 113774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193342464).

113774880 is an abundant number, since it is smaller than the sum of its proper divisors (272910048).

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

113774880 is a wasteful number, since it uses less digits than its factorization.

113774880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 113774880 is about 10666.5308324684. The cubic root of 113774880 is about 484.5613776279.

The spelling of 113774880 in words is "one hundred thirteen million, seven hundred seventy-four thousand, eight hundred eighty".