67839680 has 56 divisors (see below), whose sum is σ = 163220400. Its totient is φ = 26854400.

The previous prime is 67839677. The next prime is 67839683. The reversal of 67839680 is 8693876.

It is an interprime number because it is at equal distance from previous prime (67839677) and next prime (67839683).

It is not an unprimeable number, because it can be changed into a prime (67839683) 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, 31271 + ... + 33369.

It is an arithmetic number, because the mean of its divisors is an integer number (2914650).

Almost surely, 2^67839680 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 67839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81610200).

67839680 is an abundant number, since it is smaller than the sum of its proper divisors (95380720).

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

67839680 is a wasteful number, since it uses less digits than its factorization.

67839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 67839680 is about 8236.4846870494. The cubic root of 67839680 is about 407.8444877020.

The spelling of 67839680 in words is "sixty-seven million, eight hundred thirty-nine thousand, six hundred eighty".