115845600 has 288 divisors, whose sum is σ = 419973120. Its totient is φ = 27555840.

The previous prime is 115845593. The next prime is 115845617. The reversal of 115845600 is 6548511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1466361 + ... + 1466439.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 2^115845600 is an apocalyptic number.

115845600 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 115845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

115845600 is an abundant number, since it is smaller than the sum of its proper divisors (304127520).

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

115845600 is a wasteful number, since it uses less digits than its factorization.

115845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 115845600 is about 10763.1593874661. The cubic root of 115845600 is about 487.4834182394.

The spelling of 115845600 in words is "one hundred fifteen million, eight hundred forty-five thousand, six hundred".