67656768 has 84 divisors (see below), whose sum is σ = 185836560. Its totient is φ = 21722624.

The previous prime is 67656767. The next prime is 67656773. The reversal of 67656768 is 86765676.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67656768.

It is not an unprimeable number, because it can be changed into a prime (67656767) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 161263 + ... + 161681.

It is an arithmetic number, because the mean of its divisors is an integer number (2212340).

Almost surely, 2^67656768 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 67656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92918280).

67656768 is an abundant number, since it is smaller than the sum of its proper divisors (118179792).

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

67656768 is a wasteful number, since it uses less digits than its factorization.

67656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 453 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 67656768 is about 8225.3734261734. The cubic root of 67656768 is about 407.4776090172.

The spelling of 67656768 in words is "sixty-seven million, six hundred fifty-six thousand, seven hundred sixty-eight".