80568 has 32 divisors (see below), whose sum is σ = 224400. Its totient is φ = 26784.

The previous prime is 80567. The next prime is 80599. The reversal of 80568 is 86508.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80567) 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, 30 + ... + 402.

2⁸⁰⁵⁶⁸ 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 80568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112200).

80568 is an abundant number, since it is smaller than the sum of its proper divisors (143832).

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

80568 is a wasteful number, since it uses less digits than its factorization.

80568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 80568 is about 283.8450281404. The cubic root of 80568 is about 43.1904299789.

The spelling of 80568 in words is "eighty thousand, five hundred sixty-eight".