115959600 has 180 divisors, whose sum is σ = 417665976. Its totient is φ = 30896640.

The previous prime is 115959589. The next prime is 115959619. The reversal of 115959600 is 6959511.

115959600 is a `hidden beast` number, since 1 + 1 + 595 + 9 + 60 + 0 = 666.

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

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

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, 96604 + ... + 97796.

Almost surely, 2^115959600 is an apocalyptic number.

115959600 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 115959600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208832988).

115959600 is an abundant number, since it is smaller than the sum of its proper divisors (301706376).

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

115959600 is a wasteful number, since it uses less digits than its factorization.

115959600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 115959600 is about 10768.4539280251. The cubic root of 115959600 is about 487.6432714992.

The spelling of 115959600 in words is "one hundred fifteen million, nine hundred fifty-nine thousand, six hundred".