89440 has 48 divisors (see below), whose sum is σ = 232848. Its totient is φ = 32256.

The previous prime is 89431. The next prime is 89443. The reversal of 89440 is 4498.

89440 = 1² + 2² + ... + 64².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89443) 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, 2059 + ... + 2101.

It is an arithmetic number, because the mean of its divisors is an integer number (4851).

2⁸⁹⁴⁴⁰ is an apocalyptic number.

89440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424).

89440 is an abundant number, since it is smaller than the sum of its proper divisors (143408).

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

89440 is a wasteful number, since it uses less digits than its factorization.

89440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 89440 is about 299.0652102803. The cubic root of 89440 is about 44.7209063621.

Subtracting from 89440 its product of nonzero digits (1152), we obtain a palindrome (88288).

It can be divided in two parts, 89 and 440, that added together give a square (529 = 23²).

The spelling of 89440 in words is "eighty-nine thousand, four hundred forty".