68003200 has 96 divisors (see below), whose sum is σ = 170748000. Its totient is φ = 26757120.

The previous prime is 68003189. The next prime is 68003207. The reversal of 68003200 is 230086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68003207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252666 + ... + 252934.

It is an arithmetic number, because the mean of its divisors is an integer number (1778625).

Almost surely, 2^68003200 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 68003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85374000).

68003200 is an abundant number, since it is smaller than the sum of its proper divisors (102744800).

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

68003200 is a wasteful number, since it uses less digits than its factorization.

68003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 68003200 is about 8246.4052774527. The cubic root of 68003200 is about 408.1719126875.

Adding to 68003200 its reverse (230086), we get a palindrome (68233286).

It can be divided in two parts, 6800 and 3200, that added together give a 4-th power (10000 = 10⁴).

The spelling of 68003200 in words is "sixty-eight million, three thousand, two hundred".