66204936 has 96 divisors (see below), whose sum is σ = 217002240. Its totient is φ = 17800704.

The previous prime is 66204917. The next prime is 66204961. The reversal of 66204936 is 63940266.

It is a super-3 number, since 3×66204936³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66204936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4705 + ... + 12431.

It is an arithmetic number, because the mean of its divisors is an integer number (2260440).

Almost surely, 2^66204936 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 66204936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108501120).

66204936 is an abundant number, since it is smaller than the sum of its proper divisors (150797304).

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

66204936 is a wasteful number, since it uses less digits than its factorization.

66204936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 66204936 is about 8136.6415676248. The cubic root of 66204936 is about 404.5418504627.

The spelling of 66204936 in words is "sixty-six million, two hundred four thousand, nine hundred thirty-six".