68314200 has 96 divisors (see below), whose sum is σ = 217017360. Its totient is φ = 17766400.

The previous prime is 68314199. The next prime is 68314201. The reversal of 68314200 is 241386.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68314199) and next prime (68314201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68314201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23212 + ... + 25988.

Almost surely, 2^68314200 is an apocalyptic number.

68314200 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 68314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108508680).

68314200 is an abundant number, since it is smaller than the sum of its proper divisors (148703160).

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

68314200 is a wasteful number, since it uses less digits than its factorization.

68314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68314200 is about 8265.2404683711. The cubic root of 68314200 is about 408.7931993359.

Adding to 68314200 its reverse (241386), we get a palindrome (68555586).

The spelling of 68314200 in words is "sixty-eight million, three hundred fourteen thousand, two hundred".