87090 has 16 divisors (see below), whose sum is σ = 209088. Its totient is φ = 23216.

The previous prime is 87083. The next prime is 87103. The reversal of 87090 is 9078.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 87090.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87090.

It is an unprimeable number.

87090 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1422 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (13068).

2⁸⁷⁰⁹⁰ is an apocalyptic number.

87090 is an abundant number, since it is smaller than the sum of its proper divisors (121998).

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 (104544).

87090 is a wasteful number, since it uses less digits than its factorization.

87090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 87090 is about 295.1101489275. The cubic root of 87090 is about 44.3257504257.

The spelling of 87090 in words is "eighty-seven thousand, ninety".