68612800 has 168 divisors, whose sum is σ = 185511440. Its totient is φ = 24883200.

The previous prime is 68612783. The next prime is 68612807. The reversal of 68612800 is 821686.

68612800 is nontrivially palindromic in base 3.

It is not an unprimeable number, because it can be changed into a prime (68612807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1124770 + ... + 1124830.

Almost surely, 2^68612800 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 68612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92755720).

68612800 is an abundant number, since it is smaller than the sum of its proper divisors (116898640).

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

68612800 is a wasteful number, since it uses less digits than its factorization.

68612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 68612800 is about 8283.2843727594. The cubic root of 68612800 is about 409.3879426011.

The spelling of 68612800 in words is "sixty-eight million, six hundred twelve thousand, eight hundred".