67979664 has 60 divisors (see below), whose sum is σ = 190849516. Its totient is φ = 22588416.

The previous prime is 67979657. The next prime is 67979669. The reversal of 67979664 is 46697976.

It can be written as a sum of positive squares in 2 ways, for example, as 62726400 + 5253264 = 7920^2 + 2292^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67979664.

It is not an unprimeable number, because it can be changed into a prime (67979669) 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, 65292 + ... + 66324.

Almost surely, 2^67979664 is an apocalyptic number.

It is an amenable number.

67979664 is an abundant number, since it is smaller than the sum of its proper divisors (122869852).

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

67979664 is a wasteful number, since it uses less digits than its factorization.

67979664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1495 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 67979664 is about 8244.9781079151. The cubic root of 67979664 is about 408.1248176359.

It can be divided in two parts, 6797 and 9664, that added together give a palindrome (16461).

The spelling of 67979664 in words is "sixty-seven million, nine hundred seventy-nine thousand, six hundred sixty-four".