88424 has 16 divisors (see below), whose sum is σ = 189600. Its totient is φ = 37872.

The previous prime is 88423. The next prime is 88427. The reversal of 88424 is 42488.

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

It is a junction number, because it is equal to n+sod(n) for n = 88393 and 88402.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88424.

It is not an unprimeable number, because it can be changed into a prime (88423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 734 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (11850).

2⁸⁸⁴²⁴ is an apocalyptic number.

It is an amenable number.

88424 is an abundant number, since it is smaller than the sum of its proper divisors (101176).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94800).

88424 is a wasteful number, since it uses less digits than its factorization.

88424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1588 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 88424 is about 297.3617325750. The cubic root of 88424 is about 44.5509243217.

It can be divided in two parts, 88 and 424, that added together give a 9-th power (512 = 2⁹).

The spelling of 88424 in words is "eighty-eight thousand, four hundred twenty-four".