114490584 has 80 divisors (see below), whose sum is σ = 345372720. Its totient is φ = 35225280.

The previous prime is 114490549. The next prime is 114490589. The reversal of 114490584 is 485094411.

114490584 is a `hidden beast` number, since 114 + 490 + 58 + 4 = 666.

It is a super-2 number, since 2×114490584² = 26216187649322112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114490589) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1629 + ... + 15219.

It is an arithmetic number, because the mean of its divisors is an integer number (4317159).

Almost surely, 2^114490584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114490584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172686360).

114490584 is an abundant number, since it is smaller than the sum of its proper divisors (230882136).

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

114490584 is a wasteful number, since it uses less digits than its factorization.

114490584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13622 (or 13609 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 114490584 is about 10700.0272896848. The cubic root of 114490584 is about 485.5753034221.

The spelling of 114490584 in words is "one hundred fourteen million, four hundred ninety thousand, five hundred eighty-four".