36990 has 32 divisors (see below), whose sum is σ = 99360. Its totient is φ = 9792.

The previous prime is 36979. The next prime is 36997. The reversal of 36990 is 9963.

36990 = 84² + 85² + ... + 88².

36990 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36990.

It is not an unprimeable number, because it can be changed into a prime (36997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (3105).

2³⁶⁹⁹⁰ is an apocalyptic number.

36990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49680).

36990 is an abundant number, since it is smaller than the sum of its proper divisors (62370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36990 is a wasteful number, since it uses less digits than its factorization.

36990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 36990 is about 192.3278450979. The cubic root of 36990 is about 33.3192162443.

Subtracting from 36990 its sum of digits (27), we obtain a palindrome (36963).

The spelling of 36990 in words is "thirty-six thousand, nine hundred ninety".