68005300 has 72 divisors (see below), whose sum is σ = 162302112. Its totient is φ = 24528000.

The previous prime is 68005279. The next prime is 68005309. The reversal of 68005300 is 350086.

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 (68005309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231954 + ... + 232246.

It is an arithmetic number, because the mean of its divisors is an integer number (2254196).

Almost surely, 2^68005300 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 68005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81151056).

68005300 is an abundant number, since it is smaller than the sum of its proper divisors (94296812).

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

68005300 is a wasteful number, since it uses less digits than its factorization.

68005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 68005300 is about 8246.5326046769. The cubic root of 68005300 is about 408.1761142163.

Adding to 68005300 its reverse (350086), we get a palindrome (68355386).

It can be divided in two parts, 6800 and 5300, that added together give a square (12100 = 110²).

The spelling of 68005300 in words is "sixty-eight million, five thousand, three hundred".