66745000 has 80 divisors (see below), whose sum is σ = 178817760. Its totient is φ = 22872000.

The previous prime is 66744973. The next prime is 66745033. The reversal of 66745000 is 54766.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 66745000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34047 + ... + 35953.

It is an arithmetic number, because the mean of its divisors is an integer number (2235222).

Almost surely, 2^66745000 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 66745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89408880).

66745000 is an abundant number, since it is smaller than the sum of its proper divisors (112072760).

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

66745000 is a wasteful number, since it uses less digits than its factorization.

66745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 66745000 is about 8169.7613184230. The cubic root of 66745000 is about 405.6388839291.

Adding to 66745000 its reverse (54766), we get a palindrome (66799766).

The spelling of 66745000 in words is "sixty-six million, seven hundred forty-five thousand".