67168080 has 120 divisors (see below), whose sum is σ = 257816832. Its totient is φ = 15351552.

The previous prime is 67168063. The next prime is 67168093. The reversal of 67168080 is 8086176.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1624 + ... + 11703.

Almost surely, 2^67168080 is an apocalyptic number.

67168080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128908416).

67168080 is an abundant number, since it is smaller than the sum of its proper divisors (190648752).

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

67168080 is a wasteful number, since it uses less digits than its factorization.

67168080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13353 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 67168080 is about 8195.6134608704. The cubic root of 67168080 is about 406.4941607618.

The spelling of 67168080 in words is "sixty-seven million, one hundred sixty-eight thousand, eighty".