286720560 has 480 divisors, whose sum is σ = 1191590400. Its totient is φ = 64012032.

The previous prime is 286720559. The next prime is 286720573. The reversal of 286720560 is 65027682.

286720560 is a `hidden beast` number, since 28 + 6 + 72 + 0 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6667899 + ... + 6667941.

It is an arithmetic number, because the mean of its divisors is an integer number (2482480).

Almost surely, 2^286720560 is an apocalyptic number.

286720560 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 286720560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595795200).

286720560 is an abundant number, since it is smaller than the sum of its proper divisors (904869840).

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

286720560 is an equidigital number, since it uses as much as digits as its factorization.

286720560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 286720560 is about 16932.8249267510. The cubic root of 286720560 is about 659.4060772696.

The spelling of 286720560 in words is "two hundred eighty-six million, seven hundred twenty thousand, five hundred sixty".