67667616 has 144 divisors (see below), whose sum is σ = 210430080. Its totient is φ = 21150720.

The previous prime is 67667603. The next prime is 67667617. The reversal of 67667616 is 61676676.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (381024) is a multiple of the sum of its prime factors (324).

It is not an unprimeable number, because it can be changed into a prime (67667617) 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 23 ways as a sum of consecutive naturals, for example, 249561 + ... + 249831.

It is an arithmetic number, because the mean of its divisors is an integer number (1461320).

Almost surely, 2^67667616 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 67667616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105215040).

67667616 is an abundant number, since it is smaller than the sum of its proper divisors (142762464).

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

67667616 is a wasteful number, since it uses less digits than its factorization.

67667616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 293 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 67667616 is about 8226.0328226916. The cubic root of 67667616 is about 407.4993860003.

The spelling of 67667616 in words is "sixty-seven million, six hundred sixty-seven thousand, six hundred sixteen".