67218048 has 192 divisors, whose sum is σ = 211629600. Its totient is φ = 20404224.

The previous prime is 67218023. The next prime is 67218061. The reversal of 67218048 is 84081276.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 809815 + ... + 809897.

Almost surely, 2^67218048 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 67218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105814800).

67218048 is an abundant number, since it is smaller than the sum of its proper divisors (144411552).

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

67218048 is a wasteful number, since it uses less digits than its factorization.

67218048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 67218048 is about 8198.6613541480. The cubic root of 67218048 is about 406.5949361376.

The spelling of 67218048 in words is "sixty-seven million, two hundred eighteen thousand, forty-eight".