36368020 has 48 divisors (see below), whose sum is σ = 82929168. Its totient is φ = 13317120.

The previous prime is 36368009. The next prime is 36368023. The reversal of 36368020 is 2086363.

36368020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1179396 + 35188624 = 1086^2 + 5932^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36368020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36368023) 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 15 ways as a sum of consecutive naturals, for example, 35110 + ... + 36130.

It is an arithmetic number, because the mean of its divisors is an integer number (1727691).

Almost surely, 2^36368020 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 36368020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41464584).

36368020 is an abundant number, since it is smaller than the sum of its proper divisors (46561148).

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

36368020 is a wasteful number, since it uses less digits than its factorization.

36368020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 36368020 is about 6030.5903525277. The cubic root of 36368020 is about 331.3140747060.

The spelling of 36368020 in words is "thirty-six million, three hundred sixty-eight thousand, twenty".