66280680 has 112 divisors (see below), whose sum is σ = 223693380. Its totient is φ = 17667072.

The previous prime is 66280679. The next prime is 66280681. The reversal of 66280680 is 8608266.

It is an interprime number because it is at equal distance from previous prime (66280679) and next prime (66280681).

It can be written as a sum of positive squares in 2 ways, for example, as 64738116 + 1542564 = 8046^2 + 1242^2 .

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

It is not an unprimeable number, because it can be changed into a prime (66280681) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28024 + ... + 30296.

Almost surely, 2^66280680 is an apocalyptic number.

66280680 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 66280680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111846690).

66280680 is an abundant number, since it is smaller than the sum of its proper divisors (157412700).

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

66280680 is a wasteful number, since it uses less digits than its factorization.

66280680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 66280680 is about 8141.2947373253. The cubic root of 66280680 is about 404.6960682682.

The spelling of 66280680 in words is "sixty-six million, two hundred eighty thousand, six hundred eighty".