89550 has 36 divisors (see below), whose sum is σ = 241800. Its totient is φ = 23760.

The previous prime is 89533. The next prime is 89561. The reversal of 89550 is 5598.

It is a congruent number.

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 351 + ... + 549.

2⁸⁹⁵⁵⁰ is an apocalyptic number.

89550 is the 150-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120900).

89550 is an abundant number, since it is smaller than the sum of its proper divisors (152250).

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

89550 is a wasteful number, since it uses less digits than its factorization.

89550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 89550 is about 299.2490601489. The cubic root of 89550 is about 44.7392325561.

The spelling of 89550 in words is "eighty-nine thousand, five hundred fifty".