115084800 has 360 divisors, whose sum is σ = 438654216. Its totient is φ = 29859840.

The previous prime is 115084759. The next prime is 115084807. The reversal of 115084800 is 8480511.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×115084800² = 26489022382080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115084807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3110382 + ... + 3110418.

Almost surely, 2^115084800 is an apocalyptic number.

115084800 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 115084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219327108).

115084800 is an abundant number, since it is smaller than the sum of its proper divisors (323569416).

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

115084800 is an frugal number, since it uses more digits than its factorization.

115084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 115084800 is about 10727.7583865410. The cubic root of 115084800 is about 486.4139134986.

The spelling of 115084800 in words is "one hundred fifteen million, eighty-four thousand, eight hundred".