114385600 has 126 divisors (see below), whose sum is σ = 327637140. Its totient is φ = 39191040.

The previous prime is 114385597. The next prime is 114385627. The reversal of 114385600 is 6583411.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 17 ways as a sum of consecutive naturals, for example, 77671 + ... + 79129.

Almost surely, 2^114385600 is an apocalyptic number.

114385600 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 114385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163818570).

114385600 is an abundant number, since it is smaller than the sum of its proper divisors (213251540).

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

114385600 is a wasteful number, since it uses less digits than its factorization.

114385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 114385600 is about 10695.1203826792. The cubic root of 114385600 is about 485.4268393144.

The spelling of 114385600 in words is "one hundred fourteen million, three hundred eighty-five thousand, six hundred".