84024 has 32 divisors (see below), whose sum is σ = 234000. Its totient is φ = 27936.

The previous prime is 84017. The next prime is 84047. The reversal of 84024 is 42048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 83988 and 84006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 410.

2⁸⁴⁰²⁴ 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 84024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117000).

84024 is an abundant number, since it is smaller than the sum of its proper divisors (149976).

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

84024 is a wasteful number, since it uses less digits than its factorization.

84024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 84024 is about 289.8689359003. The cubic root of 84024 is about 43.7993619723.

The spelling of 84024 in words is "eighty-four thousand, twenty-four".