5329024 has 64 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 2396160.

The previous prime is 5329019. The next prime is 5329043. The reversal of 5329024 is 4209235.

It is a happy number.

5329024 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 5329024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67417 + ... + 67495.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 2^5329024 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 5329024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

5329024 is an abundant number, since it is smaller than the sum of its proper divisors (6421376).

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

5329024 is a wasteful number, since it uses less digits than its factorization.

5329024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 5329024 is about 2308.4678901817. The cubic root of 5329024 is about 174.6690233999.

Subtracting from 5329024 its product of nonzero digits (2160), we obtain a square (5326864 = 2308²).

The spelling of 5329024 in words is "five million, three hundred twenty-nine thousand, twenty-four".