6864400 has 45 divisors (see below), whose sum is σ = 16618573. Its totient is φ = 2724800.

The previous prime is 6864383. The next prime is 6864427. The reversal of 6864400 is 44686.

The square root of 6864400 is 2620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2471184 + 4393216 = 1572^2 + 2096^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52335 + ... + 52465.

Almost surely, 2^6864400 is an apocalyptic number.

6864400 is the 2620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6864400

6864400 is an abundant number, since it is smaller than the sum of its proper divisors (9754173).

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

6864400 is a wasteful number, since it uses less digits than its factorization.

6864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The cubic root of 6864400 is about 190.0498484165.

The spelling of 6864400 in words is "six million, eight hundred sixty-four thousand, four hundred".