286661880 has 192 divisors, whose sum is σ = 985608000. Its totient is φ = 72112128.

The previous prime is 286661863. The next prime is 286661887. The reversal of 286661880 is 88166682.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286661887) 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 47 ways as a sum of consecutive naturals, for example, 736726 + ... + 737114.

It is an arithmetic number, because the mean of its divisors is an integer number (5133375).

Almost surely, 2^286661880 is an apocalyptic number.

286661880 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 286661880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492804000).

286661880 is an abundant number, since it is smaller than the sum of its proper divisors (698946120).

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

286661880 is a wasteful number, since it uses less digits than its factorization.

286661880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 286661880 is about 16931.0921088984. The cubic root of 286661880 is about 659.3610896940.

It can be divided in two parts, 2866 and 61880, that added together give a palindrome (64746).

The spelling of 286661880 in words is "two hundred eighty-six million, six hundred sixty-one thousand, eight hundred eighty".