88350 has 48 divisors (see below), whose sum is σ = 238080. Its totient is φ = 21600.

The previous prime is 88339. The next prime is 88379. The reversal of 88350 is 5388.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 88350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2835 + ... + 2865.

It is an arithmetic number, because the mean of its divisors is an integer number (4960).

2⁸⁸³⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

88350 is an abundant number, since it is smaller than the sum of its proper divisors (149730).

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

88350 is a wasteful number, since it uses less digits than its factorization.

88350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 88350 is about 297.2372789540. The cubic root of 88350 is about 44.5384929739.

The spelling of 88350 in words is "eighty-eight thousand, three hundred fifty".