114584000 has 56 divisors (see below), whose sum is σ = 283787088. Its totient is φ = 45830400.

The previous prime is 114583993. The next prime is 114584021. The reversal of 114584000 is 485411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839 + ... + 15161.

Almost surely, 2^114584000 is an apocalyptic number.

114584000 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 114584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141893544).

114584000 is an abundant number, since it is smaller than the sum of its proper divisors (169203088).

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

114584000 is an equidigital number, since it uses as much as digits as its factorization.

114584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14350 (or 14330 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 114584000 is about 10704.3916221334. The cubic root of 114584000 is about 485.7073322452.

The spelling of 114584000 in words is "one hundred fourteen million, five hundred eighty-four thousand".