67949568 has 132 divisors (see below), whose sum is σ = 200859828. Its totient is φ = 22118400.

The previous prime is 67949537. The next prime is 67949573. The reversal of 67949568 is 86594976.

67949568 is a `hidden beast` number, since 6 + 79 + 4 + 9 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 13307904 = 7392^2 + 3648^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 672718 + ... + 672818.

Almost surely, 2^67949568 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 67949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100429914).

67949568 is an abundant number, since it is smaller than the sum of its proper divisors (132910260).

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

67949568 is a wasteful number, since it uses less digits than its factorization.

67949568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 67949568 is about 8243.1527948959. The cubic root of 67949568 is about 408.0645803195.

The spelling of 67949568 in words is "sixty-seven million, nine hundred forty-nine thousand, five hundred sixty-eight".