114087584 has 48 divisors (see below), whose sum is σ = 247824360. Its totient is φ = 51363840.

The previous prime is 114087583. The next prime is 114087671. The reversal of 114087584 is 485780411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68227600 + 45859984 = 8260^2 + 6772^2 .

It is not an unprimeable number, because it can be changed into a prime (114087581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13712 + ... + 20400.

Almost surely, 2^114087584 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 114087584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123912180).

114087584 is an abundant number, since it is smaller than the sum of its proper divisors (133736776).

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

114087584 is a wasteful number, since it uses less digits than its factorization.

114087584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 114087584 is about 10681.1789611447. The cubic root of 114087584 is about 485.0049016403.

The spelling of 114087584 in words is "one hundred fourteen million, eighty-seven thousand, five hundred eighty-four".