66866760 has 96 divisors (see below), whose sum is σ = 218420280. Its totient is φ = 17740800.

The previous prime is 66866743. The next prime is 66866791. The reversal of 66866760 is 6766866.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63776196 + 3090564 = 7986^2 + 1758^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 100830 + ... + 101490.

Almost surely, 2^66866760 is an apocalyptic number.

66866760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66866760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109210140).

66866760 is an abundant number, since it is smaller than the sum of its proper divisors (151553520).

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

66866760 is a wasteful number, since it uses less digits than its factorization.

66866760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 66866760 is about 8177.2097930773. The cubic root of 66866760 is about 405.8853972121.

The spelling of 66866760 in words is "sixty-six million, eight hundred sixty-six thousand, seven hundred sixty".