114631800 has 96 divisors (see below), whose sum is σ = 366881280. Its totient is φ = 29577600.

The previous prime is 114631789. The next prime is 114631819. The reversal of 114631800 is 8136411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15519 + ... + 21681.

It is an arithmetic number, because the mean of its divisors is an integer number (3821680).

Almost surely, 2^114631800 is an apocalyptic number.

114631800 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 114631800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183440640).

114631800 is an abundant number, since it is smaller than the sum of its proper divisors (252249480).

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

114631800 is a wasteful number, since it uses less digits than its factorization.

114631800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6213 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114631800 is about 10706.6241178067. The cubic root of 114631800 is about 485.7748622751.

The spelling of 114631800 in words is "one hundred fourteen million, six hundred thirty-one thousand, eight hundred".