36668800 has 96 divisors (see below), whose sum is σ = 103587120. Its totient is φ = 12564480.

The previous prime is 36668777. The next prime is 36668833. The reversal of 36668800 is 886663.

It is a self number, because there is not a number n which added to its sum of digits gives 36668800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21582 + ... + 23218.

Almost surely, 2^36668800 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 36668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793560).

36668800 is an abundant number, since it is smaller than the sum of its proper divisors (66918320).

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

36668800 is a wasteful number, since it uses less digits than its factorization.

36668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 36668800 is about 6055.4768598352. The cubic root of 36668800 is about 332.2249407047.

The spelling of 36668800 in words is "thirty-six million, six hundred sixty-eight thousand, eight hundred".