4006564 has 24 divisors (see below), whose sum is σ = 7347200. Its totient is φ = 1909440.

The previous prime is 4006547. The next prime is 4006567. The reversal of 4006564 is 4656004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4006567) 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, 9592 + ... + 10000.

Almost surely, 2^4006564 is an apocalyptic number.

It is an amenable number.

4006564 is a deficient number, since it is larger than the sum of its proper divisors (3340636).

4006564 is a wasteful number, since it uses less digits than its factorization.

4006564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4006564 is about 2001.6403273316. The cubic root of 4006564 is about 158.8268885811.

The spelling of 4006564 in words is "four million, six thousand, five hundred sixty-four".