36890 has 32 divisors (see below), whose sum is σ = 82944. Its totient is φ = 11520.

The previous prime is 36887. The next prime is 36899. The reversal of 36890 is 9863.

It is a happy number.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175 + ... + 1205.

It is an arithmetic number, because the mean of its divisors is an integer number (2592).

2³⁶⁸⁹⁰ is an apocalyptic number.

36890 is an abundant number, since it is smaller than the sum of its proper divisors (46054).

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 (41472).

36890 is a wasteful number, since it uses less digits than its factorization.

36890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 36890 is about 192.0676963990. The cubic root of 36890 is about 33.2891637194.

Subtracting from 36890 its sum of digits (26), we obtain a square (36864 = 192²).

The spelling of 36890 in words is "thirty-six thousand, eight hundred ninety".