6834564 has 72 divisors (see below), whose sum is σ = 19513760. Its totient is φ = 2067120.

The previous prime is 6834563. The next prime is 6834587. The reversal of 6834564 is 4654386.

6834564 is a `hidden beast` number, since 68 + 34 + 564 = 666.

It is a super-2 number, since 2×6834564² = 93422530140192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6834563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12807 + ... + 13329.

Almost surely, 2^6834564 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 6834564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9756880).

6834564 is an abundant number, since it is smaller than the sum of its proper divisors (12679196).

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

6834564 is a wasteful number, since it uses less digits than its factorization.

6834564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 539 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 6834564 is about 2614.2999062847. The cubic root of 6834564 is about 189.7740990186.

The spelling of 6834564 in words is "six million, eight hundred thirty-four thousand, five hundred sixty-four".