36581868 has 60 divisors (see below), whose sum is σ = 99810480. Its totient is φ = 11661408.

The previous prime is 36581861. The next prime is 36581869. The reversal of 36581868 is 86818563.

36581868 is a `hidden beast` number, since 3 + 6 + 581 + 8 + 68 = 666.

36581868 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 (36581861) 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 19 ways as a sum of consecutive naturals, for example, 4998 + ... + 9906.

It is an arithmetic number, because the mean of its divisors is an integer number (1663508).

Almost surely, 2^36581868 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 36581868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49905240).

36581868 is an abundant number, since it is smaller than the sum of its proper divisors (63228612).

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

36581868 is a wasteful number, since it uses less digits than its factorization.

36581868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4937 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 36581868 is about 6048.2946356804. The cubic root of 36581868 is about 331.9621938854.

The spelling of 36581868 in words is "thirty-six million, five hundred eighty-one thousand, eight hundred sixty-eight".