88508 has 24 divisors (see below), whose sum is σ = 184800. Its totient is φ = 36288.

The previous prime is 88499. The next prime is 88513. The reversal of 88508 is 80588.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

88508 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, 758 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (7700).

2⁸⁸⁵⁰⁸ 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 88508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92400).

88508 is an abundant number, since it is smaller than the sum of its proper divisors (96292).

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

88508 is a wasteful number, since it uses less digits than its factorization.

88508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

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

The square root of 88508 is about 297.5029411619. The cubic root of 88508 is about 44.5650271794.

The spelling of 88508 in words is "eighty-eight thousand, five hundred eight".