66748900 has 81 divisors (see below), whose sum is σ = 156507561. Its totient is φ = 24706080.

The previous prime is 66748897. The next prime is 66748909. The reversal of 66748900 is 984766.

The square root of 66748900 is 8170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24029604 + 42719296 = 4902^2 + 6536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66748909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1552279 + ... + 1552321.

Almost surely, 2^66748900 is an apocalyptic number.

66748900 is the 8170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66748900

66748900 is an abundant number, since it is smaller than the sum of its proper divisors (89758661).

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

66748900 is a wasteful number, since it uses less digits than its factorization.

66748900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The cubic root of 66748900 is about 405.6467844502.

The spelling of 66748900 in words is "sixty-six million, seven hundred forty-eight thousand, nine hundred".