5264800 has 36 divisors (see below), whose sum is σ = 12854646. Its totient is φ = 2105600.

The previous prime is 5264789. The next prime is 5264801. The reversal of 5264800 is 84625.

It can be written as a sum of positive squares in 3 ways, for example, as 3225616 + 2039184 = 1796^2 + 1428^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a plaindrome in base 13.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5264801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2491 + ... + 4090.

Almost surely, 2^5264800 is an apocalyptic number.

5264800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5264800 is an abundant number, since it is smaller than the sum of its proper divisors (7589846).

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

5264800 is a wasteful number, since it uses less digits than its factorization.

5264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6601 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5264800 is about 2294.5151993395. The cubic root of 5264800 is about 173.9644970944.

The spelling of 5264800 in words is "five million, two hundred sixty-four thousand, eight hundred".