67683408 has 80 divisors (see below), whose sum is σ = 190821120. Its totient is φ = 20547072.

The previous prime is 67683383. The next prime is 67683437. The reversal of 67683408 is 80438676.

It is a self number, because there is not a number n which added to its sum of digits gives 67683408.

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 15 ways as a sum of consecutive naturals, for example, 48610 + ... + 49982.

It is an arithmetic number, because the mean of its divisors is an integer number (2385264).

Almost surely, 2^67683408 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 67683408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95410560).

67683408 is an abundant number, since it is smaller than the sum of its proper divisors (123137712).

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

67683408 is a wasteful number, since it uses less digits than its factorization.

67683408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 67683408 is about 8226.9926461618. The cubic root of 67683408 is about 407.5310837318.

The spelling of 67683408 in words is "sixty-seven million, six hundred eighty-three thousand, four hundred eight".