67108968 has 48 divisors (see below), whose sum is σ = 182204100. Its totient is φ = 22314240.

The previous prime is 67108961. The next prime is 67108981. The reversal of 67108968 is 86980176.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65318724 + 1790244 = 8082^2 + 1338^2 .

It is a super-2 number, since 2×67108968² = 9007227172050048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (67108961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36618 + ... + 38406.

Almost surely, 2^67108968 is an apocalyptic number.

It is an amenable number.

67108968 is an abundant number, since it is smaller than the sum of its proper divisors (115095132).

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

67108968 is a wasteful number, since it uses less digits than its factorization.

67108968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 67108968 is about 8192.0063476538. The cubic root of 67108968 is about 406.3748792262.

The spelling of 67108968 in words is "sixty-seven million, one hundred eight thousand, nine hundred sixty-eight".