68268200 has 288 divisors, whose sum is σ = 221652480. Its totient is φ = 19008000.

The previous prime is 68268181. The next prime is 68268217. The reversal of 68268200 is 286286.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2202185 + ... + 2202215.

Almost surely, 2^68268200 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 68268200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

68268200 is an abundant number, since it is smaller than the sum of its proper divisors (153384280).

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

68268200 is a wasteful number, since it uses less digits than its factorization.

68268200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 68268200 is about 8262.4572616141. The cubic root of 68268200 is about 408.7014238365.

It can be divided in two parts, 682 and 68200, that multiplied together give a square (46512400 = 6820²).

The spelling of 68268200 in words is "sixty-eight million, two hundred sixty-eight thousand, two hundred".