89552 has 20 divisors (see below), whose sum is σ = 180420. Its totient is φ = 43008.

The previous prime is 89533. The next prime is 89561. The reversal of 89552 is 25598.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 55696 = 184^2 + 236^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 368 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (9021).

2⁸⁹⁵⁵² 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 89552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90210).

89552 is an abundant number, since it is smaller than the sum of its proper divisors (90868).

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

89552 is a wasteful number, since it uses less digits than its factorization.

89552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

The square root of 89552 is about 299.2524018283. The cubic root of 89552 is about 44.7395656206.

The spelling of 89552 in words is "eighty-nine thousand, five hundred fifty-two".