114285600 has 576 divisors, whose sum is σ = 498718080. Its totient is φ = 24883200.

The previous prime is 114285569. The next prime is 114285617. The reversal of 114285600 is 6582411.

114285600 is a `hidden beast` number, since 11 + 42 + 8 + 5 + 600 = 666.

It is a super-2 number, since 2×114285600² = 26122396734720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3088782 + ... + 3088818.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 2^114285600 is an apocalyptic number.

114285600 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 114285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249359040).

114285600 is an abundant number, since it is smaller than the sum of its proper divisors (384432480).

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

114285600 is a wasteful number, since it uses less digits than its factorization.

114285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114285600 is about 10690.4443312708. Note that the first 3 decimals coincide. The cubic root of 114285600 is about 485.2853388786.

The spelling of 114285600 in words is "one hundred fourteen million, two hundred eighty-five thousand, six hundred".