114836800 has 84 divisors (see below), whose sum is σ = 304361596. Its totient is φ = 42393600.

The previous prime is 114836791. The next prime is 114836801. The reversal of 114836800 is 8638411.

It can be written as a sum of positive squares in 6 ways, for example, as 21752896 + 93083904 = 4664^2 + 9648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114836801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18040 + ... + 23560.

Almost surely, 2^114836800 is an apocalyptic number.

114836800 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 114836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152180798).

114836800 is an abundant number, since it is smaller than the sum of its proper divisors (189524796).

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

114836800 is a wasteful number, since it uses less digits than its factorization.

114836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 114836800 is about 10716.1933539854. The cubic root of 114836800 is about 486.0642658048.

The spelling of 114836800 in words is "one hundred fourteen million, eight hundred thirty-six thousand, eight hundred".