6735564 has 72 divisors (see below), whose sum is σ = 18909072. Its totient is φ = 2004480.

The previous prime is 6735539. The next prime is 6735571. The reversal of 6735564 is 4655376.

6735564 is a `hidden beast` number, since 67 + 35 + 564 = 666.

6735564 is digitally balanced in base 4, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28792 + ... + 29024.

It is an arithmetic number, because the mean of its divisors is an integer number (262626).

Almost surely, 2^6735564 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 6735564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454536).

6735564 is an abundant number, since it is smaller than the sum of its proper divisors (12173508).

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

6735564 is a wasteful number, since it uses less digits than its factorization.

6735564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 322 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 6735564 is about 2595.2965148514. The cubic root of 6735564 is about 188.8533337666.

The spelling of 6735564 in words is "six million, seven hundred thirty-five thousand, five hundred sixty-four".