10682304 has 112 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 3266560.

The previous prime is 10682303. The next prime is 10682311. The reversal of 10682304 is 40328601.

It is a happy number.

It is a super-2 number, since 2×10682304² = 228223237496832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10682303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181027 + ... + 181085.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 2^10682304 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 10682304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

10682304 is an abundant number, since it is smaller than the sum of its proper divisors (20041536).

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

10682304 is a wasteful number, since it uses less digits than its factorization.

10682304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10682304 is about 3268.3794149395. The cubic root of 10682304 is about 220.2360001890.

10682304 divided by its sum of digits (24) gives a triangular number (445096 = T₉₄₃).

The spelling of 10682304 in words is "ten million, six hundred eighty-two thousand, three hundred four".