68333600 has 72 divisors (see below), whose sum is σ = 167997060. Its totient is φ = 27141120.

The previous prime is 68333597. The next prime is 68333627. The reversal of 68333600 is 633386.

It can be written as a sum of positive squares in 6 ways, for example, as 43612816 + 24720784 = 6604^2 + 4972^2 .

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, 183014 + ... + 183386.

Almost surely, 2^68333600 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 68333600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83998530).

68333600 is an abundant number, since it is smaller than the sum of its proper divisors (99663460).

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

68333600 is a wasteful number, since it uses less digits than its factorization.

68333600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 68333600 is about 8266.4139746325. The cubic root of 68333600 is about 408.8318923039.

Adding to 68333600 its reverse (633386), we get a palindrome (68966986).

The spelling of 68333600 in words is "sixty-eight million, three hundred thirty-three thousand, six hundred".