84568 has 24 divisors (see below), whose sum is σ = 178740. Its totient is φ = 37200.

The previous prime is 84559. The next prime is 84589. The reversal of 84568 is 86548.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2713 + ... + 2743.

2⁸⁴⁵⁶⁸ is an apocalyptic number.

84568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89370).

84568 is an abundant number, since it is smaller than the sum of its proper divisors (94172).

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

84568 is a wasteful number, since it uses less digits than its factorization.

84568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 44 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 84568 is about 290.8057771091. The cubic root of 84568 is about 43.8936827061.

It can be divided in two parts, 8456 and 8, that added together give a square (8464 = 92²).

The spelling of 84568 in words is "eighty-four thousand, five hundred sixty-eight".