68130900 has 216 divisors, whose sum is σ = 232969464. Its totient is φ = 16588800.

The previous prime is 68130841. The next prime is 68130929. The reversal of 68130900 is 903186.

It can be written as a sum of positive squares in 12 ways, for example, as 25280784 + 42850116 = 5028^2 + 6546^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 933264 + ... + 933336.

Almost surely, 2^68130900 is an apocalyptic number.

68130900 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 68130900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116484732).

68130900 is an abundant number, since it is smaller than the sum of its proper divisors (164838564).

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

68130900 is a wasteful number, since it uses less digits than its factorization.

68130900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 68130900 is about 8254.1444135658. The cubic root of 68130900 is about 408.4272485171.

The spelling of 68130900 in words is "sixty-eight million, one hundred thirty thousand, nine hundred".