79566 has 16 divisors (see below), whose sum is σ = 162000. Its totient is φ = 26048.

The previous prime is 79561. The next prime is 79579. The reversal of 79566 is 66597.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79561) 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, 460 + ... + 608.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2⁷⁹⁵⁶⁶ is an apocalyptic number.

79566 is an abundant number, since it is smaller than the sum of its proper divisors (82434).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81000).

79566 is a wasteful number, since it uses less digits than its factorization.

79566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243.

The product of its digits is 11340, while the sum is 33.

The square root of 79566 is about 282.0744582553. The cubic root of 79566 is about 43.0106337501.

It can be divided in two parts, 795 and 66, that added together give a triangular number (861 = T₄₁).

The spelling of 79566 in words is "seventy-nine thousand, five hundred sixty-six".