68289760 has 192 divisors, whose sum is σ = 210760704. Its totient is φ = 20275200.

The previous prime is 68289713. The next prime is 68289763. The reversal of 68289760 is 6798286.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 68289760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68289763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 283240 + ... + 283480.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^68289760 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 68289760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105380352).

68289760 is an abundant number, since it is smaller than the sum of its proper divisors (142470944).

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

68289760 is a wasteful number, since it uses less digits than its factorization.

68289760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 68289760 is about 8263.7618552328. The cubic root of 68289760 is about 408.7444437455.

The spelling of 68289760 in words is "sixty-eight million, two hundred eighty-nine thousand, seven hundred sixty".