113788320 has 192 divisors, whose sum is σ = 379209600. Its totient is φ = 28643328.

The previous prime is 113788313. The next prime is 113788351. The reversal of 113788320 is 23887311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763606 + ... + 763754.

It is an arithmetic number, because the mean of its divisors is an integer number (1975050).

Almost surely, 2^113788320 is an apocalyptic number.

113788320 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 113788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).

113788320 is an abundant number, since it is smaller than the sum of its proper divisors (265421280).

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

113788320 is a wasteful number, since it uses less digits than its factorization.

113788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 113788320 is about 10667.1608218870. The cubic root of 113788320 is about 484.5804569668.

The spelling of 113788320 in words is "one hundred thirteen million, seven hundred eighty-eight thousand, three hundred twenty".