68945200 has 60 divisors (see below), whose sum is σ = 175401720. Its totient is φ = 25953280.

The previous prime is 68945159. The next prime is 68945203. The reversal of 68945200 is 254986.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (68945203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1731 + ... + 11869.

It is an arithmetic number, because the mean of its divisors is an integer number (2923362).

Almost surely, 2^68945200 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 68945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87700860).

68945200 is an abundant number, since it is smaller than the sum of its proper divisors (106456520).

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

68945200 is a wasteful number, since it uses less digits than its factorization.

68945200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10174 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 68945200 is about 8303.3246353494. The cubic root of 68945200 is about 410.0479816937.

The spelling of 68945200 in words is "sixty-eight million, nine hundred forty-five thousand, two hundred".