84080 has 20 divisors (see below), whose sum is σ = 195672. Its totient is φ = 33600.

The previous prime is 84067. The next prime is 84089. The reversal of 84080 is 8048.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 446 + ... + 605.

2⁸⁴⁰⁸⁰ is an apocalyptic number.

84080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84080 is an abundant number, since it is smaller than the sum of its proper divisors (111592).

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 (97836).

84080 is a wasteful number, since it uses less digits than its factorization.

84080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 84080 is about 289.9655151910. The cubic root of 84080 is about 43.8090902229.

Adding to 84080 its sum of digits (20), we get a square (84100 = 290²).

It can be divided in two parts, 8 and 4080, that multiplied together give a triangular number (32640 = T₂₅₅).

The spelling of 84080 in words is "eighty-four thousand, eighty".