286130600 has 192 divisors, whose sum is σ = 802032000. Its totient is φ = 94832640.

The previous prime is 286130591. The next prime is 286130629. The reversal of 286130600 is 6031682.

It is a self number, because there is not a number n which added to its sum of digits gives 286130600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2949752 + ... + 2949848.

It is an arithmetic number, because the mean of its divisors is an integer number (4177250).

Almost surely, 2^286130600 is an apocalyptic number.

286130600 is a gapful number since it is divisible by the number (20) 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 286130600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401016000).

286130600 is an abundant number, since it is smaller than the sum of its proper divisors (515901400).

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

286130600 is a wasteful number, since it uses less digits than its factorization.

286130600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 286130600 is about 16915.3953545284. The cubic root of 286130600 is about 658.9534991746.

The spelling of 286130600 in words is "two hundred eighty-six million, one hundred thirty thousand, six hundred".