67983408 has 80 divisors (see below), whose sum is σ = 206638560. Its totient is φ = 21325824.

The previous prime is 67983407. The next prime is 67983427. The reversal of 67983408 is 80438976.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (67983401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2716 + ... + 11972.

It is an arithmetic number, because the mean of its divisors is an integer number (2582982).

Almost surely, 2^67983408 is an apocalyptic number.

67983408 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67983408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103319280).

67983408 is an abundant number, since it is smaller than the sum of its proper divisors (138655152).

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

67983408 is a wasteful number, since it uses less digits than its factorization.

67983408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 67983408 is about 8245.2051520869. The cubic root of 67983408 is about 408.1323100298.

The spelling of 67983408 in words is "sixty-seven million, nine hundred eighty-three thousand, four hundred eight".