88506 has 32 divisors (see below), whose sum is σ = 216000. Its totient is φ = 26640.

The previous prime is 88499. The next prime is 88513. The reversal of 88506 is 60588.

It is an interprime number because it is at equal distance from previous prime (88499) and next prime (88513).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 88506.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2⁸⁸⁵⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 297×298.

It is a practical number, because each smaller number is the sum of distinct divisors of 88506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000).

88506 is an abundant number, since it is smaller than the sum of its proper divisors (127494).

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

88506 is a wasteful number, since it uses less digits than its factorization.

88506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 88506 is about 297.4995798316. The cubic root of 88506 is about 44.5646915007.

The spelling of 88506 in words is "eighty-eight thousand, five hundred six".