68247200 has 108 divisors (see below), whose sum is σ = 193921182. Its totient is φ = 23385600.

The previous prime is 68247191. The next prime is 68247209. The reversal of 68247200 is 274286.

It is an interprime number because it is at equal distance from previous prime (68247191) and next prime (68247209).

It can be written as a sum of positive squares in 3 ways, for example, as 25684624 + 42562576 = 5068^2 + 6524^2 .

It is not an unprimeable number, because it can be changed into a prime (68247209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38330 + ... + 40070.

Almost surely, 2^68247200 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 68247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96960591).

68247200 is an abundant number, since it is smaller than the sum of its proper divisors (125673982).

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

68247200 is a wasteful number, since it uses less digits than its factorization.

68247200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 68247200 is about 8261.1863554819. The cubic root of 68247200 is about 408.6595126191.

The spelling of 68247200 in words is "sixty-eight million, two hundred forty-seven thousand, two hundred".