5353824 has 96 divisors (see below), whose sum is σ = 16644096. Its totient is φ = 1474560.

The previous prime is 5353819. The next prime is 5353841. The reversal of 5353824 is 4283535.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

Its product of digits (14400) is a multiple of the sum of its prime divisors (300).

It is a junction number, because it is equal to n+sod(n) for n = 5353791 and 5353800.

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, 20704 + ... + 20960.

It is an arithmetic number, because the mean of its divisors is an integer number (173376).

Almost surely, 2^5353824 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 5353824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8322048).

5353824 is an abundant number, since it is smaller than the sum of its proper divisors (11290272).

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

5353824 is a wasteful number, since it uses less digits than its factorization.

5353824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 5353824 is about 2313.8331832697. The cubic root of 5353824 is about 174.9395600806.

The spelling of 5353824 in words is "five million, three hundred fifty-three thousand, eight hundred twenty-four".