66208680 has 96 divisors (see below), whose sum is σ = 216201960. Its totient is φ = 17571840.

The previous prime is 66208661. The next prime is 66208687. The reversal of 66208680 is 8680266.

66208680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43797924 + 22410756 = 6618^2 + 4734^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66208687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126820 + ... + 127340.

Almost surely, 2^66208680 is an apocalyptic number.

66208680 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 66208680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108100980).

66208680 is an abundant number, since it is smaller than the sum of its proper divisors (149993280).

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

66208680 is a wasteful number, since it uses less digits than its factorization.

66208680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 884 counting only the distinct ones).

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

The square root of 66208680 is about 8136.8716347255. The cubic root of 66208680 is about 404.5494761587.

The spelling of 66208680 in words is "sixty-six million, two hundred eight thousand, six hundred eighty".