36090 has 24 divisors (see below), whose sum is σ = 94068. Its totient is φ = 9600.

The previous prime is 36083. The next prime is 36097. The reversal of 36090 is 9063.

It is an interprime number because it is at equal distance from previous prime (36083) and next prime (36097).

It can be written as a sum of positive squares in 2 ways, for example, as 33489 + 2601 = 183^2 + 51^2 .

It is a Smith number, since the sum of its digits (18) 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 (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36097) by changing a digit.

36090 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 11 ways as a sum of consecutive naturals, for example, 111 + ... + 290.

2³⁶⁰⁹⁰ is an apocalyptic number.

36090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36090 is an abundant number, since it is smaller than the sum of its proper divisors (57978).

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 (47034).

36090 is a wasteful number, since it uses less digits than its factorization.

36090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 36090 is about 189.9736823879. The cubic root of 36090 is about 33.0467656511.

It can be divided in two parts, 360 and 90, that multiplied together give a square (32400 = 180²).

The spelling of 36090 in words is "thirty-six thousand, ninety".