6240800 has 72 divisors (see below), whose sum is σ = 15819300. Its totient is φ = 2401280.

The previous prime is 6240799. The next prime is 6240811. The reversal of 6240800 is 80426.

It can be written as a sum of positive squares in 6 ways, for example, as 913936 + 5326864 = 956^2 + 2308^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23066 + ... + 23334.

Almost surely, 2^6240800 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 6240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909650).

6240800 is an abundant number, since it is smaller than the sum of its proper divisors (9578500).

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

6240800 is a wasteful number, since it uses less digits than its factorization.

6240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 6240800 is about 2498.1593223812. The cubic root of 6240800 is about 184.1111489757. Note that the first 4 decimals are identical.

The spelling of 6240800 in words is "six million, two hundred forty thousand, eight hundred".