6874400 has 72 divisors (see below), whose sum is σ = 18100404. Its totient is φ = 2534400.

The previous prime is 6874397. The next prime is 6874423. The reversal of 6874400 is 44786.

It can be written as a sum of positive squares in 6 ways, for example, as 2226064 + 4648336 = 1492^2 + 2156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10070 + ... + 10730.

Almost surely, 2^6874400 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 6874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050202).

6874400 is an abundant number, since it is smaller than the sum of its proper divisors (11226004).

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

6874400 is a wasteful number, since it uses less digits than its factorization.

6874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 6874400 is about 2621.9077024182. The cubic root of 6874400 is about 190.1420913099.

The spelling of 6874400 in words is "six million, eight hundred seventy-four thousand, four hundred".