89380 has 24 divisors (see below), whose sum is σ = 194040. Its totient is φ = 34560.

The previous prime is 89371. The next prime is 89381. The reversal of 89380 is 8398.

89380 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 87616 = 42^2 + 296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766 + ... + 874.

It is an arithmetic number, because the mean of its divisors is an integer number (8085).

2⁸⁹³⁸⁰ 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 89380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97020).

89380 is an abundant number, since it is smaller than the sum of its proper divisors (104660).

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

89380 is a wasteful number, since it uses less digits than its factorization.

89380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 89380 is about 298.9648808807. The cubic root of 89380 is about 44.7109039224.

The spelling of 89380 in words is "eighty-nine thousand, three hundred eighty".