36664544 has 72 divisors (see below), whose sum is σ = 85465800. Its totient is φ = 15434496.

The previous prime is 36664543. The next prime is 36664549. The reversal of 36664544 is 44546663.

It is a happy number.

36664544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36664498 and 36664507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36664541) 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 11 ways as a sum of consecutive naturals, for example, 104882 + ... + 105230.

It is an arithmetic number, because the mean of its divisors is an integer number (1187025).

Almost surely, 2^36664544 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 36664544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42732900).

36664544 is an abundant number, since it is smaller than the sum of its proper divisors (48801256).

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

36664544 is a wasteful number, since it uses less digits than its factorization.

With its successor (36664545) it forms an eRAP, since the sums of their prime factors are consecutive (440 and 441).

36664544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its digits is 207360, while the sum is 38.

The square root of 36664544 is about 6055.1254322268. The cubic root of 36664544 is about 332.2120868702.

The spelling of 36664544 in words is "thirty-six million, six hundred sixty-four thousand, five hundred forty-four".