5269824 has 84 divisors (see below), whose sum is σ = 17276064. Its totient is φ = 1504512.

The previous prime is 5269819. The next prime is 5269841. The reversal of 5269824 is 4289625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5⁶ + 2¹⁹ + 6 + 9⁶ + 8² + 2²² + 4⁶ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3379 + ... + 4685.

Almost surely, 2^5269824 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 5269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638032).

5269824 is an abundant number, since it is smaller than the sum of its proper divisors (12006240).

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

5269824 is a wasteful number, since it uses less digits than its factorization.

5269824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1319 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5269824 is about 2295.6097229277. The cubic root of 5269824 is about 174.0198154207.

The spelling of 5269824 in words is "five million, two hundred sixty-nine thousand, eight hundred twenty-four".