10482688 has 44 divisors (see below), whose sum is σ = 21739140. Its totient is φ = 5046272.

The previous prime is 10482677. The next prime is 10482701. The reversal of 10482688 is 88628401.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 5607424 = 2208^2 + 2368^2 .

It is a congruent number.

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, 29520 + ... + 29872.

Almost surely, 2^10482688 is an apocalyptic number.

10482688 is the 2048-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10869570).

10482688 is an abundant number, since it is smaller than the sum of its proper divisors (11256452).

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

10482688 is an equidigital number, since it uses as much as digits as its factorization.

10482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 10482688 is about 3237.6979476165. The cubic root of 10482688 is about 218.8555443876.

The spelling of 10482688 in words is "ten million, four hundred eighty-two thousand, six hundred eighty-eight".