115964800 has 192 divisors, whose sum is σ = 339978240. Its totient is φ = 38246400.

The previous prime is 115964791. The next prime is 115964801. The reversal of 115964800 is 8469511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115964801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694317 + ... + 694483.

It is an arithmetic number, because the mean of its divisors is an integer number (1770720).

Almost surely, 2^115964800 is an apocalyptic number.

115964800 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 115964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

115964800 is an abundant number, since it is smaller than the sum of its proper divisors (224013440).

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

115964800 is a wasteful number, since it uses less digits than its factorization.

115964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 115964800 is about 10768.6953713066. The cubic root of 115964800 is about 487.6505605525.

The spelling of 115964800 in words is "one hundred fifteen million, nine hundred sixty-four thousand, eight hundred".