66224256 has 128 divisors (see below), whose sum is σ = 204456960. Its totient is φ = 18600960.

The previous prime is 66224243. The next prime is 66224261. The reversal of 66224256 is 65242266.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190675 + ... + 191021.

It is an arithmetic number, because the mean of its divisors is an integer number (1597320).

Almost surely, 2^66224256 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 66224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102228480).

66224256 is an abundant number, since it is smaller than the sum of its proper divisors (138232704).

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

66224256 is a wasteful number, since it uses less digits than its factorization.

66224256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 66224256 is about 8137.8287030387. The cubic root of 66224256 is about 404.5811979237.

It can be divided in two parts, 6622 and 4256, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 66224256 in words is "sixty-six million, two hundred twenty-four thousand, two hundred fifty-six".