10284864 has 112 divisors (see below), whose sum is σ = 30284928. Its totient is φ = 3063808.

The previous prime is 10284829. The next prime is 10284877. The reversal of 10284864 is 46848201.

10284864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75004 + ... + 75140.

Almost surely, 2^10284864 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 10284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142464).

10284864 is an abundant number, since it is smaller than the sum of its proper divisors (20000064).

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

10284864 is a wasteful number, since it uses less digits than its factorization.

10284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 10284864 is about 3207.0023386334. The cubic root of 10284864 is about 217.4700817614.

The spelling of 10284864 in words is "ten million, two hundred eighty-four thousand, eight hundred sixty-four".