66627288 has 96 divisors (see below), whose sum is σ = 222112800. Its totient is φ = 17570304.

The previous prime is 66627229. The next prime is 66627293. The reversal of 66627288 is 88272666.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1468 + ... + 11636.

It is an arithmetic number, because the mean of its divisors is an integer number (2313675).

Almost surely, 2^66627288 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 66627288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111056400).

66627288 is an abundant number, since it is smaller than the sum of its proper divisors (155485512).

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

66627288 is a wasteful number, since it uses less digits than its factorization.

66627288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10194 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 66627288 is about 8162.5540120724. The cubic root of 66627288 is about 405.4002809788.

The spelling of 66627288 in words is "sixty-six million, six hundred twenty-seven thousand, two hundred eighty-eight".