67385320 has 48 divisors (see below), whose sum is σ = 156754980. Its totient is φ = 26069760.

The previous prime is 67385309. The next prime is 67385321. The reversal of 67385320 is 2358376.

It can be written as a sum of positive squares in 2 ways, for example, as 58155876 + 9229444 = 7626^2 + 3038^2 .

It is not an unprimeable number, because it can be changed into a prime (67385321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37564 + ... + 39316.

Almost surely, 2^67385320 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 67385320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78377490).

67385320 is an abundant number, since it is smaller than the sum of its proper divisors (89369660).

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

67385320 is a wasteful number, since it uses less digits than its factorization.

67385320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 67385320 is about 8208.8561931611. The cubic root of 67385320 is about 406.9319270310.

The spelling of 67385320 in words is "sixty-seven million, three hundred eighty-five thousand, three hundred twenty".