115801600 has 120 divisors (see below), whose sum is σ = 293028120. Its totient is φ = 45342720.

The previous prime is 115801577. The next prime is 115801643. The reversal of 115801600 is 6108511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1062346 + ... + 1062454.

It is an arithmetic number, because the mean of its divisors is an integer number (2441901).

Almost surely, 2^115801600 is an apocalyptic number.

115801600 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 115801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146514060).

115801600 is an abundant number, since it is smaller than the sum of its proper divisors (177226520).

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

115801600 is an equidigital number, since it uses as much as digits as its factorization.

115801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 115801600 is about 10761.1151838460. The cubic root of 115801600 is about 487.4216924407.

The spelling of 115801600 in words is "one hundred fifteen million, eight hundred one thousand, six hundred".