88580 has 24 divisors (see below), whose sum is σ = 192192. Its totient is φ = 34272.

The previous prime is 88547. The next prime is 88589. The reversal of 88580 is 8588.

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

88580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 809 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (8008).

2⁸⁸⁵⁸⁰ 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 88580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96096).

88580 is an abundant number, since it is smaller than the sum of its proper divisors (103612).

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

88580 is a wasteful number, since it uses less digits than its factorization.

88580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 88580 is about 297.6239237696. The cubic root of 88580 is about 44.5771082427.

It can be divided in two parts, 88 and 580, that multiplied together give a triangular number (51040 = T₃₁₉).

The spelling of 88580 in words is "eighty-eight thousand, five hundred eighty".