66682368 has 120 divisors (see below), whose sum is σ = 199485000. Its totient is φ = 21417984.

The previous prime is 66682309. The next prime is 66682373. The reversal of 66682368 is 86328666.

It is a super-4 number, since 4×66682368⁴ (a number of 32 digits) contains 4444 as substring.

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 11 ways as a sum of consecutive naturals, for example, 133383 + ... + 133881.

It is an arithmetic number, because the mean of its divisors is an integer number (1662375).

Almost surely, 2^66682368 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 66682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99742500).

66682368 is an abundant number, since it is smaller than the sum of its proper divisors (132802632).

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

66682368 is a wasteful number, since it uses less digits than its factorization.

66682368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 533 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 66682368 is about 8165.9272590441. The cubic root of 66682368 is about 405.5119634331.

The spelling of 66682368 in words is "sixty-six million, six hundred eighty-two thousand, three hundred sixty-eight".