286681140 has 96 divisors (see below), whose sum is σ = 897644160. Its totient is φ = 75955968.

The previous prime is 286681133. The next prime is 286681159. The reversal of 286681140 is 41186682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 286681095 and 286681104.

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 31 ways as a sum of consecutive naturals, for example, 86392 + ... + 89648.

It is an arithmetic number, because the mean of its divisors is an integer number (9350460).

Almost surely, 2^286681140 is an apocalyptic number.

286681140 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 286681140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448822080).

286681140 is an abundant number, since it is smaller than the sum of its proper divisors (610963020).

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

286681140 is a wasteful number, since it uses less digits than its factorization.

286681140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 286681140 is about 16931.6608754133. The cubic root of 286681140 is about 659.3758562315.

The spelling of 286681140 in words is "two hundred eighty-six million, six hundred eighty-one thousand, one hundred forty".