113901984 has 192 divisors, whose sum is σ = 390700800. Its totient is φ = 31601664.

The previous prime is 113901901. The next prime is 113902013. The reversal of 113901984 is 489109311.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 223522 + ... + 224030.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 2^113901984 is an apocalyptic number.

113901984 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 113901984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

113901984 is an abundant number, since it is smaller than the sum of its proper divisors (276798816).

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

113901984 is a wasteful number, since it uses less digits than its factorization.

113901984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 113901984 is about 10672.4872452489. The cubic root of 113901984 is about 484.7417536140.

The spelling of 113901984 in words is "one hundred thirteen million, nine hundred one thousand, nine hundred eighty-four".