66382848 has 220 divisors, whose sum is σ = 229345880. Its totient is φ = 18966528.

The previous prime is 66382837. The next prime is 66382861. The reversal of 66382848 is 84828366.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

66382848 is a `hidden beast` number, since 6 + 638 + 2 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×66382848² = 8813365017182208, which contains 22 as substring.

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

Its product of digits (442368) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9483261 + ... + 9483267.

Almost surely, 2^66382848 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 66382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114672940).

66382848 is an abundant number, since it is smaller than the sum of its proper divisors (162963032).

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

66382848 is an frugal number, since it uses more digits than its factorization.

66382848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 12 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 66382848 is about 8147.5669988040. The cubic root of 66382848 is about 404.9039003814.

Multiplying 66382848 by its product of digits (442368), we get a square (29365647704064 = 5419008²).

The spelling of 66382848 in words is "sixty-six million, three hundred eighty-two thousand, eight hundred forty-eight".