286982080 has 224 divisors, whose sum is σ = 898306560. Its totient is φ = 84602880.

The previous prime is 286982039. The next prime is 286982081. The reversal of 286982080 is 80289682.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×286982080² = 164717428482252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286982081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467854 + ... + 468466.

Almost surely, 2^286982080 is an apocalyptic number.

286982080 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 286982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449153280).

286982080 is an abundant number, since it is smaller than the sum of its proper divisors (611324480).

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

286982080 is a wasteful number, since it uses less digits than its factorization.

286982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 286982080 is about 16940.5454457641. The cubic root of 286982080 is about 659.6064994432.

The spelling of 286982080 in words is "two hundred eighty-six million, nine hundred eighty-two thousand, eighty".