68819200 has 54 divisors (see below), whose sum is σ = 170354114. Its totient is φ = 27525120.

The previous prime is 68819167. The next prime is 68819207. The reversal of 68819200 is 291886.

It can be written as a sum of positive squares in 3 ways, for example, as 17438976 + 51380224 = 4176^2 + 7168^2 .

It is not an unprimeable number, because it can be changed into a prime (68819207) 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 5 ways as a sum of consecutive naturals, for example, 1024 + ... + 11776.

Almost surely, 2^68819200 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 68819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85177057).

68819200 is an abundant number, since it is smaller than the sum of its proper divisors (101534914).

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

68819200 is a wasteful number, since it uses less digits than its factorization.

68819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10779 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 68819200 is about 8295.7338433679. The cubic root of 68819200 is about 409.7980365605.

The spelling of 68819200 in words is "sixty-eight million, eight hundred nineteen thousand, two hundred".