67318020 has 192 divisors, whose sum is σ = 261273600. Its totient is φ = 13979520.

The previous prime is 67317983. The next prime is 67318021. The reversal of 67318020 is 2081376.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (67318021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 40771 + ... + 42389.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^67318020 is an apocalyptic number.

67318020 is a gapful number since it is divisible by the number (60) 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 67318020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

67318020 is an abundant number, since it is smaller than the sum of its proper divisors (193955580).

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

67318020 is a wasteful number, since it uses less digits than its factorization.

67318020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 67318020 is about 8204.7559378692. The cubic root of 67318020 is about 406.7964096759.

Adding to 67318020 its reverse (2081376), we get a palindrome (69399396).

The spelling of 67318020 in words is "sixty-seven million, three hundred eighteen thousand, twenty".