113946084 has 72 divisors (see below), whose sum is σ = 331647680. Its totient is φ = 32311872.

The previous prime is 113946073. The next prime is 113946089. The reversal of 113946084 is 480649311.

113946084 is a `hidden beast` number, since 11 + 39 + 4 + 608 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (113946089) 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, 33402 + ... + 36654.

Almost surely, 2^113946084 is an apocalyptic number.

113946084 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 113946084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165823840).

113946084 is an abundant number, since it is smaller than the sum of its proper divisors (217701596).

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

113946084 is a wasteful number, since it uses less digits than its factorization.

113946084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 113946084 is about 10674.5531053998. The cubic root of 113946084 is about 484.8043055037.

The spelling of 113946084 in words is "one hundred thirteen million, nine hundred forty-six thousand, eighty-four".