89208 has 64 divisors (see below), whose sum is σ = 288000. Its totient is φ = 25056.

The previous prime is 89203. The next prime is 89209. The reversal of 89208 is 80298.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1483 + ... + 1541.

It is an arithmetic number, because the mean of its divisors is an integer number (4500).

2⁸⁹²⁰⁸ 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 89208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144000).

89208 is an abundant number, since it is smaller than the sum of its proper divisors (198792).

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

89208 is a wasteful number, since it uses less digits than its factorization.

89208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 89208 is about 298.6770831517. The cubic root of 89208 is about 44.6822054301.

Multiplying 89208 by its product of nonzero digits (1152), we get a triangular number (102767616 = T₁₄₃₃₆).

It can be divided in two parts, 8 and 9208, that added together give a square (9216 = 96²).

The spelling of 89208 in words is "eighty-nine thousand, two hundred eight".