564116 has 12 divisors (see below), whose sum is σ = 1128288. Its totient is φ = 241752.

The previous prime is 564103. The next prime is 564127. The reversal of 564116 is 611465.

564116 is nontrivially palindromic in base 15.

564116 is an admirable number.

It is a super-2 number, since 2×564116² = 636453722912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 564091 and 564100.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 564116.

It is an unprimeable number.

564116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10046 + ... + 10101.

It is an arithmetic number, because the mean of its divisors is an integer number (94024).

2⁵⁶⁴¹¹⁶ is an apocalyptic number.

It is an amenable number.

564116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

564116 is a wasteful number, since it uses less digits than its factorization.

564116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20158 (or 20156 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 564116 is about 751.0765606781. The cubic root of 564116 is about 82.6271562260.

The spelling of 564116 in words is "five hundred sixty-four thousand, one hundred sixteen".