68208800 has 144 divisors (see below), whose sum is σ = 190112832. Its totient is φ = 23654400.

The previous prime is 68208761. The next prime is 68208851. The reversal of 68208800 is 880286.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 202232 + ... + 202568.

It is an arithmetic number, because the mean of its divisors is an integer number (1320228).

Almost surely, 2^68208800 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 68208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95056416).

68208800 is an abundant number, since it is smaller than the sum of its proper divisors (121904032).

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

68208800 is a wasteful number, since it uses less digits than its factorization.

68208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 68208800 is about 8258.8619070669. The cubic root of 68208800 is about 408.5828527250.

The spelling of 68208800 in words is "sixty-eight million, two hundred eight thousand, eight hundred".