88360 has 24 divisors (see below), whose sum is σ = 203130. Its totient is φ = 34592.

The previous prime is 88339. The next prime is 88379. The reversal of 88360 is 6388.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 8836 = 282^2 + 94^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1857 + ... + 1903.

2⁸⁸³⁶⁰ 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 88360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101565).

88360 is an abundant number, since it is smaller than the sum of its proper divisors (114770).

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

88360 is a wasteful number, since it uses less digits than its factorization.

88360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 88360 is about 297.2541000558. The cubic root of 88360 is about 44.5401732913.

The spelling of 88360 in words is "eighty-eight thousand, three hundred sixty".