113817600 has 432 divisors, whose sum is σ = 462079800. Its totient is φ = 26542080.

The previous prime is 113817589. The next prime is 113817617. The reversal of 113817600 is 6718311.

113817600 is a `hidden beast` number, since 11 + 38 + 17 + 600 = 666.

It is a super-3 number, since 3×113817600³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5990391 + ... + 5990409.

Almost surely, 2^113817600 is an apocalyptic number.

113817600 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 113817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231039900).

113817600 is an abundant number, since it is smaller than the sum of its proper divisors (348262200).

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

113817600 is a wasteful number, since it uses less digits than its factorization.

113817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 113817600 is about 10668.5331700286. The cubic root of 113817600 is about 484.6220174684.

It can be divided in two parts, 11381 and 7600, that added together give a palindrome (18981).

The spelling of 113817600 in words is "one hundred thirteen million, eight hundred seventeen thousand, six hundred".