68289200 has 120 divisors (see below), whose sum is σ = 194198880. Its totient is φ = 22606080.

The previous prime is 68289197. The next prime is 68289223. The reversal of 68289200 is 298286.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 2354786 + ... + 2354814.

It is an arithmetic number, because the mean of its divisors is an integer number (1618324).

Almost surely, 2^68289200 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 68289200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97099440).

68289200 is an abundant number, since it is smaller than the sum of its proper divisors (125909680).

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

68289200 is an equidigital number, since it uses as much as digits as its factorization.

68289200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 68289200 is about 8263.7279722895. The cubic root of 68289200 is about 408.7433264598.

The spelling of 68289200 in words is "sixty-eight million, two hundred eighty-nine thousand, two hundred".