66382080 has 144 divisors (see below), whose sum is σ = 216336960. Its totient is φ = 17342464.

The previous prime is 66382061. The next prime is 66382081. The reversal of 66382080 is 8028366.

It is not an unprimeable number, because it can be changed into a prime (66382081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226414 + ... + 226706.

It is an arithmetic number, because the mean of its divisors is an integer number (1502340).

Almost surely, 2^66382080 is an apocalyptic number.

66382080 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 66382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108168480).

66382080 is an abundant number, since it is smaller than the sum of its proper divisors (149954880).

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

66382080 is a wasteful number, since it uses less digits than its factorization.

66382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 66382080 is about 8147.5198680335. The cubic root of 66382080 is about 404.9023388968.

The spelling of 66382080 in words is "sixty-six million, three hundred eighty-two thousand, eighty".