67362820 has 48 divisors (see below), whose sum is σ = 162949248. Its totient is φ = 22913280.

The previous prime is 67362793. The next prime is 67362821. The reversal of 67362820 is 2826376.

It is not an unprimeable number, because it can be changed into a prime (67362821) 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 15 ways as a sum of consecutive naturals, for example, 16504 + ... + 20176.

It is an arithmetic number, because the mean of its divisors is an integer number (3394776).

Almost surely, 2^67362820 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 67362820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81474624).

67362820 is an abundant number, since it is smaller than the sum of its proper divisors (95586428).

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

67362820 is a wasteful number, since it uses less digits than its factorization.

67362820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 67362820 is about 8207.4856076633. The cubic root of 67362820 is about 406.8866303818.

The spelling of 67362820 in words is "sixty-seven million, three hundred sixty-two thousand, eight hundred twenty".