84090 has 16 divisors (see below), whose sum is σ = 201888. Its totient is φ = 22416.

The previous prime is 84089. The next prime is 84121. The reversal of 84090 is 9048.

It is a super-2 number, since 2×84090² = 14142256200, which contains 22 as substring.

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, 1372 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (12618).

2⁸⁴⁰⁹⁰ is an apocalyptic number.

84090 is an abundant number, since it is smaller than the sum of its proper divisors (117798).

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 (100944).

84090 is a wasteful number, since it uses less digits than its factorization.

84090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 84090 is about 289.9827581081. The cubic root of 84090 is about 43.8108269559.

The spelling of 84090 in words is "eighty-four thousand, ninety".