67008096 has 144 divisors (see below), whose sum is σ = 201670560. Its totient is φ = 21073920.

The previous prime is 67008091. The next prime is 67008157. The reversal of 67008096 is 69080076.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 67008096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67008091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592936 + ... + 593048.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^67008096 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 67008096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

67008096 is an abundant number, since it is smaller than the sum of its proper divisors (134662464).

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

67008096 is a wasteful number, since it uses less digits than its factorization.

67008096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 67008096 is about 8185.8472988445. The cubic root of 67008096 is about 406.1711687356.

The spelling of 67008096 in words is "sixty-seven million, eight thousand, ninety-six".