36366820 has 72 divisors (see below), whose sum is σ = 91010304. Its totient is φ = 12164544.

The previous prime is 36366809. The next prime is 36366821. The reversal of 36366820 is 2866363.

36366820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36366821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41709 + ... + 42571.

It is an arithmetic number, because the mean of its divisors is an integer number (1264032).

Almost surely, 2^36366820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36366820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45505152).

36366820 is an abundant number, since it is smaller than the sum of its proper divisors (54643484).

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

36366820 is a wasteful number, since it uses less digits than its factorization.

36366820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 36366820 is about 6030.4908589600. The cubic root of 36366820 is about 331.3104306504.

The spelling of 36366820 in words is "thirty-six million, three hundred sixty-six thousand, eight hundred twenty".