66980256 has 144 divisors (see below), whose sum is σ = 212012640. Its totient is φ = 18439680.

The previous prime is 66980239. The next prime is 66980261. The reversal of 66980256 is 65208966.

66980256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136171 + ... + 136661.

It is an arithmetic number, because the mean of its divisors is an integer number (1472310).

Almost surely, 2^66980256 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 66980256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106006320).

66980256 is an abundant number, since it is smaller than the sum of its proper divisors (145032384).

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

66980256 is a wasteful number, since it uses less digits than its factorization.

66980256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 66980256 is about 8184.1466262525. The cubic root of 66980256 is about 406.1149100027.

The spelling of 66980256 in words is "sixty-six million, nine hundred eighty thousand, two hundred fifty-six".