114672584 has 48 divisors (see below), whose sum is σ = 235685700. Its totient is φ = 52276224.

The previous prime is 114672563. The next prime is 114672601. The reversal of 114672584 is 485276411.

It can be written as a sum of positive squares in 6 ways, for example, as 3960100 + 110712484 = 1990^2 + 10522^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119852 + ... + 120804.

Almost surely, 2^114672584 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 114672584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117842850).

114672584 is an abundant number, since it is smaller than the sum of its proper divisors (121013116).

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

114672584 is a wasteful number, since it uses less digits than its factorization.

114672584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1057 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 114672584 is about 10708.5285637197. The cubic root of 114672584 is about 485.8324655256.

The spelling of 114672584 in words is "one hundred fourteen million, six hundred seventy-two thousand, five hundred eighty-four".