67042768 has 40 divisors (see below), whose sum is σ = 140846888. Its totient is φ = 30730752.

The previous prime is 67042753. The next prime is 67042771. The reversal of 67042768 is 86724076.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 66389904 = 808^2 + 8148^2 .

It is a super-2 number, since 2×67042768² = 8989465482203648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67042768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31630 + ... + 33682.

Almost surely, 2^67042768 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 67042768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70423444).

67042768 is an abundant number, since it is smaller than the sum of its proper divisors (73804120).

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

67042768 is a wasteful number, since it uses less digits than its factorization.

67042768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 67042768 is about 8187.9648264999. The cubic root of 67042768 is about 406.2412117073.

The spelling of 67042768 in words is "sixty-seven million, forty-two thousand, seven hundred sixty-eight".