5757024 has 96 divisors (see below), whose sum is σ = 18627840. Its totient is φ = 1516032.

The previous prime is 5757023. The next prime is 5757029. The reversal of 5757024 is 4207575.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5756982 and 5757000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757023) 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 15 ways as a sum of consecutive naturals, for example, 8407 + ... + 9065.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 2^5757024 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 5757024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313920).

5757024 is an abundant number, since it is smaller than the sum of its proper divisors (12870816).

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

5757024 is a wasteful number, since it uses less digits than its factorization.

5757024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 5757024 is about 2399.3799198960. The cubic root of 5757024 is about 179.2253126446.

The spelling of 5757024 in words is "five million, seven hundred fifty-seven thousand, twenty-four".