89556 has 24 divisors (see below), whose sum is σ = 221760. Its totient is φ = 28032.

The previous prime is 89533. The next prime is 89561. The reversal of 89556 is 65598.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

89556 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2⁸⁹⁵⁵⁶ 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 89556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

89556 is an abundant number, since it is smaller than the sum of its proper divisors (132204).

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

89556 is a wasteful number, since it uses less digits than its factorization.

89556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 89556 is about 299.2590850751. The cubic root of 89556 is about 44.7402317349.

The spelling of 89556 in words is "eighty-nine thousand, five hundred fifty-six".