6400576 has 84 divisors (see below), whose sum is σ = 16012668. Its totient is φ = 2515968.

The previous prime is 6400543. The next prime is 6400591. The reversal of 6400576 is 6750046.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 5017600 = 1176^2 + 2240^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

6400576 is a modest number, since divided by 576 gives 64 as remainder.

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, 40690 + ... + 40846.

It is an arithmetic number, because the mean of its divisors is an integer number (190627).

Almost surely, 2^6400576 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 6400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006334).

6400576 is an abundant number, since it is smaller than the sum of its proper divisors (9612092).

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

6400576 is a wasteful number, since it uses less digits than its factorization.

6400576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

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

The square root of 6400576 is about 2529.9359675691. The cubic root of 6400576 is about 185.6691230840.

It can be divided in two parts, 6400 and 576, that multiplied together give a square (3686400 = 1920²).

The spelling of 6400576 in words is "six million, four hundred thousand, five hundred seventy-six".