6456576 has 72 divisors (see below), whose sum is σ = 19655104. Its totient is φ = 1843200.

The previous prime is 6456563. The next prime is 6456577. The reversal of 6456576 is 6756546.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4776 + ... + 5976.

Almost surely, 2^6456576 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 6456576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827552).

6456576 is an abundant number, since it is smaller than the sum of its proper divisors (13198528).

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

6456576 is a wasteful number, since it uses less digits than its factorization.

6456576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1213 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 6456576 is about 2540.9793387590. The cubic root of 6456576 is about 186.2090377314.

The spelling of 6456576 in words is "six million, four hundred fifty-six thousand, five hundred seventy-six".