88180 has 12 divisors (see below), whose sum is σ = 185220. Its totient is φ = 35264.

The previous prime is 88177. The next prime is 88211. The reversal of 88180 is 8188.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 70756 = 132^2 + 266^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2185 + ... + 2224.

It is an arithmetic number, because the mean of its divisors is an integer number (15435).

2⁸⁸¹⁸⁰ is an apocalyptic number.

It is an amenable number.

88180 is an abundant number, since it is smaller than the sum of its proper divisors (97040).

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 (92610).

88180 is a wasteful number, since it uses less digits than its factorization.

88180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 88180 is about 296.9511744378. The cubic root of 88180 is about 44.5099081586.

It can be divided in two parts, 881 and 80, that added together give a square (961 = 31²).

The spelling of 88180 in words is "eighty-eight thousand, one hundred eighty".