114664200 has 192 divisors, whose sum is σ = 424258560. Its totient is φ = 25048320.

The previous prime is 114664181. The next prime is 114664211. The reversal of 114664200 is 2466411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96007 + ... + 97193.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^114664200 is an apocalyptic number.

114664200 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 114664200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

114664200 is an abundant number, since it is smaller than the sum of its proper divisors (309594360).

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

114664200 is a wasteful number, since it uses less digits than its factorization.

114664200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 114664200 is about 10708.1370928841. The cubic root of 114664200 is about 485.8206250940.

The spelling of 114664200 in words is "one hundred fourteen million, six hundred sixty-four thousand, two hundred".