84040 has 32 divisors (see below), whose sum is σ = 207360. Its totient is φ = 30400.

The previous prime is 84017. The next prime is 84047. The reversal of 84040 is 4048.

84040 is nontrivially palindromic in base 7.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (84047) by changing a digit.

84040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁸⁴⁰⁴⁰ 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 84040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

84040 is an abundant number, since it is smaller than the sum of its proper divisors (123320).

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

84040 is a wasteful number, since it uses less digits than its factorization.

84040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 84040 is about 289.8965332666. The cubic root of 84040 is about 43.8021419134.

Adding to 84040 its reverse (4048), we get a palindrome (88088).

The spelling of 84040 in words is "eighty-four thousand, forty".