5268024 has 64 divisors (see below), whose sum is σ = 15156000. Its totient is φ = 1695456.

The previous prime is 5268017. The next prime is 5268031. The reversal of 5268024 is 4208625.

The cubic root of 5268024 is 174.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5268017) and next prime (5268031).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181642 + ... + 181670.

Almost surely, 2^5268024 is an apocalyptic number.

5268024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5268024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578000).

5268024 is an abundant number, since it is smaller than the sum of its proper divisors (9887976).

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

5268024 is an equidigital number, since it uses as much as digits as its factorization.

5268024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5268024 is about 2295.2176367395.

Multiplying 5268024 by its sum of digits (27), we get a cube (142236648 = 522³).

5268024 divided by its sum of digits (27) gives a cube (195112 = 58³).

The spelling of 5268024 in words is "five million, two hundred sixty-eight thousand, twenty-four".