66648500 has 48 divisors (see below), whose sum is σ = 154142352. Its totient is φ = 25088000.

The previous prime is 66648479. The next prime is 66648509. The reversal of 66648500 is 584666.

It can be written as a sum of positive squares in 8 ways, for example, as 17255716 + 49392784 = 4154^2 + 7028^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66648509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4580 + ... + 12420.

It is an arithmetic number, because the mean of its divisors is an integer number (3211299).

Almost surely, 2^66648500 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 66648500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77071176).

66648500 is an abundant number, since it is smaller than the sum of its proper divisors (87493852).

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

66648500 is a wasteful number, since it uses less digits than its factorization.

66648500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7877 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 66648500 is about 8163.8532568880. The cubic root of 66648500 is about 405.4432985801.

The spelling of 66648500 in words is "sixty-six million, six hundred forty-eight thousand, five hundred".