10284576 has 48 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 3400448.

The previous prime is 10284559. The next prime is 10284577. The reversal of 10284576 is 67548201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10284577) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13945 + ... + 14663.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 2^10284576 is an apocalyptic number.

10284576 is a gapful number since it is divisible by the number (16) 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 10284576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

10284576 is an abundant number, since it is smaller than the sum of its proper divisors (16931424).

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

10284576 is a wasteful number, since it uses less digits than its factorization.

10284576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 10284576 is about 3206.9574365744. The cubic root of 10284576 is about 217.4680518539.

The spelling of 10284576 in words is "ten million, two hundred eighty-four thousand, five hundred seventy-six".