286672896 has 144 divisors (see below), whose sum is σ = 841538880. Its totient is φ = 94003200.

The previous prime is 286672891. The next prime is 286672907. The reversal of 286672896 is 698276682.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (286672891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1898421 + ... + 1898571.

It is an arithmetic number, because the mean of its divisors is an integer number (5844020).

Almost surely, 2^286672896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420769440).

286672896 is an abundant number, since it is smaller than the sum of its proper divisors (554865984).

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

286672896 is a wasteful number, since it uses less digits than its factorization.

286672896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 286672896 is about 16931.4174244214. The cubic root of 286672896 is about 659.3695356824.

The spelling of 286672896 in words is "two hundred eighty-six million, six hundred seventy-two thousand, eight hundred ninety-six".