5358816 has 72 divisors (see below), whose sum is σ = 15921360. Its totient is φ = 1706496.

The previous prime is 5358811. The next prime is 5358827. The reversal of 5358816 is 6188535.

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

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5358811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6220 + ... + 7028.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 2^5358816 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 5358816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960680).

5358816 is an abundant number, since it is smaller than the sum of its proper divisors (10562544).

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

5358816 is a wasteful number, since it uses less digits than its factorization.

5358816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 837 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 5358816 is about 2314.9116613815. The cubic root of 5358816 is about 174.9939154347.

The spelling of 5358816 in words is "five million, three hundred fifty-eight thousand, eight hundred sixteen".