67328256 has 72 divisors (see below), whose sum is σ = 185431680. Its totient is φ = 21661696.

The previous prime is 67328231. The next prime is 67328269. The reversal of 67328256 is 65282376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20761 + ... + 23783.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2^67328256 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 67328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92715840).

67328256 is an abundant number, since it is smaller than the sum of its proper divisors (118103424).

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

67328256 is a wasteful number, since it uses less digits than its factorization.

67328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3057 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 67328256 is about 8205.3796987099. The cubic root of 67328256 is about 406.8170270233.

The spelling of 67328256 in words is "sixty-seven million, three hundred twenty-eight thousand, two hundred fifty-six".