36666408 has 64 divisors (see below), whose sum is σ = 95103360. Its totient is φ = 11771136.

The previous prime is 36666389. The next prime is 36666431. The reversal of 36666408 is 80466663.

36666408 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 (39) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 139285 + ... + 139547.

It is an arithmetic number, because the mean of its divisors is an integer number (1485990).

Almost surely, 2^36666408 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 36666408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47551680).

36666408 is an abundant number, since it is smaller than the sum of its proper divisors (58436952).

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

36666408 is a wasteful number, since it uses less digits than its factorization.

36666408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 36666408 is about 6055.2793494603. The cubic root of 36666408 is about 332.2177165855.

The spelling of 36666408 in words is "thirty-six million, six hundred sixty-six thousand, four hundred eight".