67684992 has 64 divisors (see below), whose sum is σ = 189271200. Its totient is φ = 21371904.

The previous prime is 67684979. The next prime is 67684999. The reversal of 67684992 is 29948676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (67684999) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2658 + ... + 11934.

Almost surely, 2^67684992 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 67684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94635600).

67684992 is an abundant number, since it is smaller than the sum of its proper divisors (121586208).

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

67684992 is a wasteful number, since it uses less digits than its factorization.

67684992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9301 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 67684992 is about 8227.0889140692. The cubic root of 67684992 is about 407.5342628674.

The spelling of 67684992 in words is "sixty-seven million, six hundred eighty-four thousand, nine hundred ninety-two".