66807648 has 144 divisors (see below), whose sum is σ = 207370800. Its totient is φ = 20321280.

The previous prime is 66807641. The next prime is 66807649. The reversal of 66807648 is 84670866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66807641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158478 + ... + 158898.

It is an arithmetic number, because the mean of its divisors is an integer number (1440075).

Almost surely, 2^66807648 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 66807648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103685400).

66807648 is an abundant number, since it is smaller than the sum of its proper divisors (140563152).

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

66807648 is a wasteful number, since it uses less digits than its factorization.

66807648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 66807648 is about 8173.5945580876. The cubic root of 66807648 is about 405.7657574432.

The spelling of 66807648 in words is "sixty-six million, eight hundred seven thousand, six hundred forty-eight".