88950 has 24 divisors (see below), whose sum is σ = 220968. Its totient is φ = 23680.

The previous prime is 88937. The next prime is 88951. The reversal of 88950 is 5988.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88950.

It is not an unprimeable number, because it can be changed into a prime (88951) by changing a digit.

88950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (9207).

2⁸⁸⁹⁵⁰ is an apocalyptic number.

88950 is an abundant number, since it is smaller than the sum of its proper divisors (132018).

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 (110484).

88950 is a wasteful number, since it uses less digits than its factorization.

88950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 88950 is about 298.2448658401. The cubic root of 88950 is about 44.6390884438.

It can be divided in two parts, 889 and 50, that added together give a palindrome (939).

The spelling of 88950 in words is "eighty-eight thousand, nine hundred fifty".