286720224 has 96 divisors (see below), whose sum is σ = 866992896. Its totient is φ = 81269760.

The previous prime is 286720193. The next prime is 286720229. The reversal of 286720224 is 422027682.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×286720224² = 164416973701220352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286720229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86404 + ... + 89660.

It is an arithmetic number, because the mean of its divisors is an integer number (9031176).

Almost surely, 2^286720224 is an apocalyptic number.

286720224 is a gapful number since it is divisible by the number (24) 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 286720224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433496448).

286720224 is an abundant number, since it is smaller than the sum of its proper divisors (580272672).

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

286720224 is a wasteful number, since it uses less digits than its factorization.

286720224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 286720224 is about 16932.8150051904. The cubic root of 286720224 is about 659.4058196895.

The spelling of 286720224 in words is "two hundred eighty-six million, seven hundred twenty thousand, two hundred twenty-four".