68208000 has 384 divisors, whose sum is σ = 272095200. Its totient is φ = 15052800.

The previous prime is 68207987. The next prime is 68208011. The reversal of 68208000 is 80286.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2351986 + ... + 2352014.

Almost surely, 2^68208000 is an apocalyptic number.

68208000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136047600).

68208000 is an abundant number, since it is smaller than the sum of its proper divisors (203887200).

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

68208000 is a wasteful number, since it uses less digits than its factorization.

68208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 68208000 is about 8258.8134741015. The cubic root of 68208000 is about 408.5812553379.

Adding to 68208000 its reverse (80286), we get a palindrome (68288286).

The spelling of 68208000 in words is "sixty-eight million, two hundred eight thousand".