67668520 has 32 divisors (see below), whose sum is σ = 154755720. Its totient is φ = 26622720.

The previous prime is 67668509. The next prime is 67668529. The reversal of 67668520 is 2586676.

It can be written as a sum of positive squares in 4 ways, for example, as 24661156 + 43007364 = 4966^2 + 6558^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (67668529) 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 7 ways as a sum of consecutive naturals, for example, 11427 + ... + 16306.

Almost surely, 2^67668520 is an apocalyptic number.

It is an amenable number.

67668520 is an abundant number, since it is smaller than the sum of its proper divisors (87087200).

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

67668520 is a wasteful number, since it uses less digits than its factorization.

67668520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27805 (or 27801 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 67668520 is about 8226.0877700156. The cubic root of 67668520 is about 407.5012006438.

It can be divided in two parts, 676 and 68520, that added together give a palindrome (69196).

The spelling of 67668520 in words is "sixty-seven million, six hundred sixty-eight thousand, five hundred twenty".