5709024 has 72 divisors (see below), whose sum is σ = 16648632. Its totient is φ = 1854720.

The previous prime is 5709019. The next prime is 5709029. The reversal of 5709024 is 4209075.

5709024 = 27³ + 28³ + ... + 69³.

5709024 is a `hidden beast` number, since 570 + 90 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5709019) and next prime (5709029).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5709029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12154 + ... + 12614.

It is an arithmetic number, because the mean of its divisors is an integer number (231231).

Almost surely, 2^5709024 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 5709024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324316).

5709024 is an abundant number, since it is smaller than the sum of its proper divisors (10939608).

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

5709024 is a wasteful number, since it uses less digits than its factorization.

5709024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5709024 is about 2389.3563986982. The cubic root of 5709024 is about 178.7258164098.

The spelling of 5709024 in words is "five million, seven hundred nine thousand, twenty-four".