114996800 has 84 divisors (see below), whose sum is σ = 290030916. Its totient is φ = 44851200.

The previous prime is 114996799. The next prime is 114996821. The reversal of 114996800 is 8699411.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51380224 + 63616576 = 7168^2 + 7976^2 .

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64724 + ... + 66476.

It is an arithmetic number, because the mean of its divisors is an integer number (3452749).

Almost surely, 2^114996800 is an apocalyptic number.

114996800 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 114996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145015458).

114996800 is an abundant number, since it is smaller than the sum of its proper divisors (175034116).

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

114996800 is a wasteful number, since it uses less digits than its factorization.

114996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 114996800 is about 10723.6560929564. The cubic root of 114996800 is about 486.2899025107.

The spelling of 114996800 in words is "one hundred fourteen million, nine hundred ninety-six thousand, eight hundred".