10286720 has 32 divisors (see below), whose sum is σ = 24593220. Its totient is φ = 4114432.

The previous prime is 10286701. The next prime is 10286737. The reversal of 10286720 is 2768201.

It can be written as a sum of positive squares in 2 ways, for example, as 9684544 + 602176 = 3112^2 + 776^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10286720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7397 + ... + 8676.

Almost surely, 2^10286720 is an apocalyptic number.

10286720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10286720 is an abundant number, since it is smaller than the sum of its proper divisors (14306500).

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

10286720 is an equidigital number, since it uses as much as digits as its factorization.

10286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16092 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10286720 is about 3207.2916923785. The cubic root of 10286720 is about 217.4831624787.

The spelling of 10286720 in words is "ten million, two hundred eighty-six thousand, seven hundred twenty".