89424 has 60 divisors (see below), whose sum is σ = 270816. Its totient is φ = 28512.

The previous prime is 89417. The next prime is 89431. The reversal of 89424 is 42498.

89424 = 51² + 52² + ... + 73².

It is an interprime number because it is at equal distance from previous prime (89417) and next prime (89431).

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3877 + ... + 3899.

2⁸⁹⁴²⁴ 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 89424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408).

89424 is an abundant number, since it is smaller than the sum of its proper divisors (181392).

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

89424 is a wasteful number, since it uses less digits than its factorization.

89424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 28 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 89424 is about 299.0384590651. The cubic root of 89424 is about 44.7182394823.

The spelling of 89424 in words is "eighty-nine thousand, four hundred twenty-four".