84540 has 24 divisors (see below), whose sum is σ = 236880. Its totient is φ = 22528.

The previous prime is 84533. The next prime is 84551. The reversal of 84540 is 4548.

84540 = T₁₂₅ + T₁₂₆ + ... + T₁₃₄.

84540 = 25² + 26² + ... + 64².

It is a house number.

It is a congruent number.

It is an unprimeable number.

84540 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 7 ways as a sum of consecutive naturals, for example, 645 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (9870).

2⁸⁴⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

84540 is an abundant number, since it is smaller than the sum of its proper divisors (152340).

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 (118440).

84540 is a wasteful number, since it uses less digits than its factorization.

84540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 84540 is about 290.7576310263. The cubic root of 84540 is about 43.8888378524. Note that the first 4 decimals are identical.

The spelling of 84540 in words is "eighty-four thousand, five hundred forty".