5268800 has 84 divisors (see below), whose sum is σ = 13464540. Its totient is φ = 2027520.

The previous prime is 5268779. The next prime is 5268803. The reversal of 5268800 is 88625.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33856 + 5234944 = 184^2 + 2288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5268803) by changing a digit.

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, 59156 + ... + 59244.

Almost surely, 2^5268800 is an apocalyptic number.

5268800 is a gapful number since it is divisible by the number (50) 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 5268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732270).

5268800 is an abundant number, since it is smaller than the sum of its proper divisors (8195740).

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

5268800 is a wasteful number, since it uses less digits than its factorization.

5268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 5268800 is about 2295.3866776646. The cubic root of 5268800 is about 174.0085432014.

The spelling of 5268800 in words is "five million, two hundred sixty-eight thousand, eight hundred".