66528648 has 32 divisors (see below), whose sum is σ = 184802400. Its totient is φ = 22176144.

The previous prime is 66528647. The next prime is 66528661. The reversal of 66528648 is 84682566.

66528648 is a `hidden beast` number, since 66 + 528 + 64 + 8 = 666.

It is a super-2 number, since 2×66528648² = 8852122009415808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66528643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153786 + ... + 154217.

It is an arithmetic number, because the mean of its divisors is an integer number (5775075).

Almost surely, 2^66528648 is an apocalyptic number.

It is an amenable number.

66528648 is an abundant number, since it is smaller than the sum of its proper divisors (118273752).

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

66528648 is a wasteful number, since it uses less digits than its factorization.

66528648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308018 (or 308008 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 66528648 is about 8156.5095475945. The cubic root of 66528648 is about 405.2001205779.

It can be divided in two parts, 66528 and 648, that added together give a palindrome (67176).

The spelling of 66528648 in words is "sixty-six million, five hundred twenty-eight thousand, six hundred forty-eight".