68445200 has 60 divisors (see below), whose sum is σ = 165772500. Its totient is φ = 27156480.

The previous prime is 68445197. The next prime is 68445229. The reversal of 68445200 is 254486.

It can be written as a sum of positive squares in 6 ways, for example, as 1401856 + 67043344 = 1184^2 + 8188^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54176 + ... + 55424.

It is an arithmetic number, because the mean of its divisors is an integer number (2762875).

Almost surely, 2^68445200 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 68445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82886250).

68445200 is an abundant number, since it is smaller than the sum of its proper divisors (97327300).

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

68445200 is a wasteful number, since it uses less digits than its factorization.

68445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 68445200 is about 8273.1614271692. The cubic root of 68445200 is about 409.0543344780.

Adding to 68445200 its reverse (254486), we get a palindrome (68699686).

The spelling of 68445200 in words is "sixty-eight million, four hundred forty-five thousand, two hundred".