67240000 has 105 divisors (see below), whose sum is σ = 170899201. Its totient is φ = 26240000.

The previous prime is 67239967. The next prime is 67240007. The reversal of 67240000 is 4276.

The square root of 67240000 is 8200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 66977856 + 262144 = 8184^2 + 512^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67240000.

It is not an unprimeable number, because it can be changed into a prime (67240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1639980 + ... + 1640020.

Almost surely, 2^67240000 is an apocalyptic number.

67240000 is the 8200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67240000

67240000 is an abundant number, since it is smaller than the sum of its proper divisors (103659201).

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

67240000 is an frugal number, since it uses more digits than its factorization.

67240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The cubic root of 67240000 is about 406.6391931035.

Adding to 67240000 its reverse (4276), we get a palindrome (67244276).

The spelling of 67240000 in words is "sixty-seven million, two hundred forty thousand".