114976800 has 144 divisors (see below), whose sum is σ = 415910880. Its totient is φ = 30654720.

The previous prime is 114976789. The next prime is 114976859. The reversal of 114976800 is 8679411.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18939 + ... + 24261.

It is an arithmetic number, because the mean of its divisors is an integer number (2888270).

Almost surely, 2^114976800 is an apocalyptic number.

114976800 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 114976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207955440).

114976800 is an abundant number, since it is smaller than the sum of its proper divisors (300934080).

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

114976800 is a wasteful number, since it uses less digits than its factorization.

114976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 114976800 is about 10722.7235346250. The cubic root of 114976800 is about 486.2617093728.

The spelling of 114976800 in words is "one hundred fourteen million, nine hundred seventy-six thousand, eight hundred".