68317200 has 180 divisors, whose sum is σ = 271048128. Its totient is φ = 15609600.

The previous prime is 68317187. The next prime is 68317219. The reversal of 68317200 is 271386.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 23845 + ... + 26555.

Almost surely, 2^68317200 is an apocalyptic number.

68317200 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 68317200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135524064).

68317200 is an abundant number, since it is smaller than the sum of its proper divisors (202730928).

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

68317200 is a wasteful number, since it uses less digits than its factorization.

68317200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2728 counting only the distinct ones).

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

The square root of 68317200 is about 8265.4219493018. The cubic root of 68317200 is about 408.7991832633.

Adding to 68317200 its reverse (271386), we get a palindrome (68588586).

The spelling of 68317200 in words is "sixty-eight million, three hundred seventeen thousand, two hundred".