6576400 has 60 divisors (see below), whose sum is σ = 16225524. Its totient is φ = 2560000.

The previous prime is 6576389. The next prime is 6576407. The reversal of 6576400 is 46756.

It can be written as a sum of positive squares in 6 ways, for example, as 43264 + 6533136 = 208^2 + 2556^2 .

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 not an unprimeable number, because it can be changed into a prime (6576407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16200 + ... + 16600.

Almost surely, 2^6576400 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 6576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112762).

6576400 is an abundant number, since it is smaller than the sum of its proper divisors (9649124).

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

6576400 is a wasteful number, since it uses less digits than its factorization.

6576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 6576400 is about 2564.4492586129. The cubic root of 6576400 is about 187.3539010048.

The spelling of 6576400 in words is "six million, five hundred seventy-six thousand, four hundred".