66050688 has 128 divisors (see below), whose sum is σ = 201715200. Its totient is φ = 18938880.

The previous prime is 66050683. The next prime is 66050723. The reversal of 66050688 is 88605066.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (66050681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79845 + ... + 80667.

It is an arithmetic number, because the mean of its divisors is an integer number (1575900).

Almost surely, 2^66050688 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 66050688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100857600).

66050688 is an abundant number, since it is smaller than the sum of its proper divisors (135664512).

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

66050688 is a wasteful number, since it uses less digits than its factorization.

66050688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 66050688 is about 8127.1574366441. The cubic root of 66050688 is about 404.2274313334.

The spelling of 66050688 in words is "sixty-six million, fifty thousand, six hundred eighty-eight".