68015200 has 144 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 24128000.

The previous prime is 68015191. The next prime is 68015201. The reversal of 68015200 is 251086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68015201) 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, 519135 + ... + 519265.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^68015200 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 68015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

68015200 is an abundant number, since it is smaller than the sum of its proper divisors (117597920).

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

68015200 is a wasteful number, since it uses less digits than its factorization.

68015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 68015200 is about 8247.1328351131. The cubic root of 68015200 is about 408.1959202581.

Adding to 68015200 its reverse (251086), we get a palindrome (68266286).

The spelling of 68015200 in words is "sixty-eight million, fifteen thousand, two hundred".