113594400 has 180 divisors, whose sum is σ = 414493002. Its totient is φ = 30274560.

The previous prime is 113594399. The next prime is 113594419. The reversal of 113594400 is 4495311.

It can be written as a sum of positive squares in 3 ways, for example, as 50296464 + 63297936 = 7092^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×113594400² = 25807375422720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63924 + ... + 65676.

Almost surely, 2^113594400 is an apocalyptic number.

113594400 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 113594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207246501).

113594400 is an abundant number, since it is smaller than the sum of its proper divisors (300898602).

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

113594400 is a wasteful number, since it uses less digits than its factorization.

113594400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113594400 is about 10658.0673670230. The cubic root of 113594400 is about 484.3050236755.

The spelling of 113594400 in words is "one hundred thirteen million, five hundred ninety-four thousand, four hundred".