67811328 has 144 divisors (see below), whose sum is σ = 211662360. Its totient is φ = 20791296.

The previous prime is 67811311. The next prime is 67811333. The reversal of 67811328 is 82311876.

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 junction number, because it is equal to n+sod(n) for n = 67811292 and 67811301.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 239475 + ... + 239757.

Almost surely, 2^67811328 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 67811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105831180).

67811328 is an abundant number, since it is smaller than the sum of its proper divisors (143851032).

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

67811328 is a wasteful number, since it uses less digits than its factorization.

67811328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

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

The square root of 67811328 is about 8234.7633845788. The cubic root of 67811328 is about 407.7876634454.

The spelling of 67811328 in words is "sixty-seven million, eight hundred eleven thousand, three hundred twenty-eight".