10284736 has 56 divisors (see below), whose sum is σ = 25456896. Its totient is φ = 4005120.

The previous prime is 10284731. The next prime is 10284739. The reversal of 10284736 is 63748201.

10284736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 10284698 and 10284707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10284731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3885 + ... + 5971.

Almost surely, 2^10284736 is an apocalyptic number.

10284736 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 10284736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728448).

10284736 is an abundant number, since it is smaller than the sum of its proper divisors (15172160).

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

10284736 is a wasteful number, since it uses less digits than its factorization.

10284736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 10284736 is about 3206.9823822404. The cubic root of 10284736 is about 217.4691795849.

The spelling of 10284736 in words is "ten million, two hundred eighty-four thousand, seven hundred thirty-six".