36564066 has 192 divisors, whose sum is σ = 109264896. Its totient is φ = 8553600.

The previous prime is 36564049. The next prime is 36564083. The reversal of 36564066 is 66046563.

36564066 is a `hidden beast` number, since 3 + 6 + 5 + 640 + 6 + 6 = 666.

36564066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36564049) and next prime (36564083).

It is a Smith number, since the sum of its digits (36) 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 36564066.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 988200 + ... + 988236.

It is an arithmetic number, because the mean of its divisors is an integer number (569088).

Almost surely, 2^36564066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36564066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54632448).

36564066 is an abundant number, since it is smaller than the sum of its proper divisors (72700830).

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

36564066 is a wasteful number, since it uses less digits than its factorization.

36564066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 36564066 is about 6046.8228021003. The cubic root of 36564066 is about 331.9083370599.

The spelling of 36564066 in words is "thirty-six million, five hundred sixty-four thousand, sixty-six".