84576 has 24 divisors (see below), whose sum is σ = 222264. Its totient is φ = 28160.

The previous prime is 84559. The next prime is 84589. The reversal of 84576 is 67548.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

84576 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, 345 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (9261).

2⁸⁴⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

84576 is an abundant number, since it is smaller than the sum of its proper divisors (137688).

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 (111132).

84576 is a wasteful number, since it uses less digits than its factorization.

84576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 84576 is about 290.8195316687. The cubic root of 84576 is about 43.8950667537.

It can be divided in two parts, 84 and 576, that multiplied together give a palindrome (48384).

The spelling of 84576 in words is "eighty-four thousand, five hundred seventy-six".