66582880 has 192 divisors, whose sum is σ = 205752960. Its totient is φ = 19759104.

The previous prime is 66582853. The next prime is 66582883. The reversal of 66582880 is 8828566.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66582883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247386 + ... + 247654.

It is an arithmetic number, because the mean of its divisors is an integer number (1071630).

Almost surely, 2^66582880 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 66582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876480).

66582880 is an abundant number, since it is smaller than the sum of its proper divisors (139170080).

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

66582880 is a wasteful number, since it uses less digits than its factorization.

66582880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 66582880 is about 8159.8333316312. The cubic root of 66582880 is about 405.3101926809.

The spelling of 66582880 in words is "sixty-six million, five hundred eighty-two thousand, eight hundred eighty".