113884992 has 168 divisors, whose sum is σ = 358359456. Its totient is φ = 34366464.

The previous prime is 113884963. The next prime is 113884999. The reversal of 113884992 is 299488311.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113884999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501583 + ... + 501809.

It is an arithmetic number, because the mean of its divisors is an integer number (2133092).

Almost surely, 2^113884992 is an apocalyptic number.

113884992 is a gapful number since it is divisible by the number (12) 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 113884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179179728).

113884992 is an abundant number, since it is smaller than the sum of its proper divisors (244474464).

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

113884992 is a wasteful number, since it uses less digits than its factorization.

113884992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 113884992 is about 10671.6911499537. The cubic root of 113884992 is about 484.7176476789.

The spelling of 113884992 in words is "one hundred thirteen million, eight hundred eighty-four thousand, nine hundred ninety-two".