67980320 has 48 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 26859264.

The previous prime is 67980317. The next prime is 67980323. The reversal of 67980320 is 2308976.

It is an interprime number because it is at equal distance from previous prime (67980317) and next prime (67980323).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (67980323) 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, 10721 + ... + 15839.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^67980320 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 67980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

67980320 is an abundant number, since it is smaller than the sum of its proper divisors (94589920).

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

67980320 is a wasteful number, since it uses less digits than its factorization.

67980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 67980320 is about 8245.0178896107. The cubic root of 67980320 is about 408.1261304256.

The spelling of 67980320 in words is "sixty-seven million, nine hundred eighty thousand, three hundred twenty".