88584 has 16 divisors (see below), whose sum is σ = 221520. Its totient is φ = 29520.

The previous prime is 88547. The next prime is 88589. The reversal of 88584 is 48588.

It is a plaindrome in base 9.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88584.

It is not an unprimeable number, because it can be changed into a prime (88589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1822 + ... + 1869.

It is an arithmetic number, because the mean of its divisors is an integer number (13845).

2⁸⁸⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

88584 is an abundant number, since it is smaller than the sum of its proper divisors (132936).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110760).

88584 is a wasteful number, since it uses less digits than its factorization.

88584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3696 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 88584 is about 297.6306435836. The cubic root of 88584 is about 44.5777792210.

It can be divided in two parts, 885 and 84, that added together give a palindrome (969).

The spelling of 88584 in words is "eighty-eight thousand, five hundred eighty-four".