564006 has 32 divisors (see below), whose sum is σ = 1214208. Its totient is φ = 174240.

The previous prime is 563999. The next prime is 564013. The reversal of 564006 is 600465.

564006 = 374² + 375² + ... + 377².

It is an interprime number because it is at equal distance from previous prime (563999) and next prime (564013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8385 + ... + 8451.

It is an arithmetic number, because the mean of its divisors is an integer number (37944).

2⁵⁶⁴⁰⁰⁶ is an apocalyptic number.

564006 is an abundant number, since it is smaller than the sum of its proper divisors (650202).

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

564006 is a wasteful number, since it uses less digits than its factorization.

564006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 564006 is about 751.0033288874. The cubic root of 564006 is about 82.6217852396.

The spelling of 564006 in words is "five hundred sixty-four thousand, six".