66648100 has 36 divisors (see below), whose sum is σ = 148543444. Its totient is φ = 25937280.

The previous prime is 66648097. The next prime is 66648133. The reversal of 66648100 is 184666.

It can be written as a sum of positive squares in 6 ways, for example, as 7573504 + 59074596 = 2752^2 + 7686^2 .

It is a super-2 number, since 2×66648100² = 8883938467220000, which contains 22 as substring.

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, 5307 + ... + 12706.

Almost surely, 2^66648100 is an apocalyptic number.

It is an amenable number.

66648100 is an abundant number, since it is smaller than the sum of its proper divisors (81895344).

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

66648100 is a wasteful number, since it uses less digits than its factorization.

66648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18064 (or 18057 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 66648100 is about 8163.8287586157. The cubic root of 66648100 is about 405.4424874709.

The spelling of 66648100 in words is "sixty-six million, six hundred forty-eight thousand, one hundred".