6564096 has 216 divisors, whose sum is σ = 24233664. Its totient is φ = 1658880.

The previous prime is 6564073. The next prime is 6564113. The reversal of 6564096 is 6904656.

It is a happy number.

6564096 is a `hidden beast` number, since 6 + 5 + 640 + 9 + 6 = 666.

6564096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6564096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177390 + ... + 177426.

Almost surely, 2^6564096 is an apocalyptic number.

6564096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12116832).

6564096 is an abundant number, since it is smaller than the sum of its proper divisors (17669568).

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

6564096 is a wasteful number, since it uses less digits than its factorization.

6564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6564096 is about 2562.0491798558. The cubic root of 6564096 is about 187.2369858983.

The spelling of 6564096 in words is "six million, five hundred sixty-four thousand, ninety-six".