67984672 has 48 divisors (see below), whose sum is σ = 153764352. Its totient is φ = 28984320.

The previous prime is 67984669. The next prime is 67984673. The reversal of 67984672 is 27648976.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (67984673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49272 + ... + 50632.

It is an arithmetic number, because the mean of its divisors is an integer number (3203424).

Almost surely, 2^67984672 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 67984672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76882176).

67984672 is an abundant number, since it is smaller than the sum of its proper divisors (85779680).

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

67984672 is a wasteful number, since it uses less digits than its factorization.

67984672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1593 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The square root of 67984672 is about 8245.2818023401. The cubic root of 67984672 is about 408.1348394511.

The spelling of 67984672 in words is "sixty-seven million, nine hundred eighty-four thousand, six hundred seventy-two".