10682048 has 56 divisors (see below), whose sum is σ = 23512272. Its totient is φ = 4783104.

The previous prime is 10682041. The next prime is 10682053. The reversal of 10682048 is 84028601.

10682048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10682048² = 228212298948608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10682048.

It is not an unprimeable number, because it can be changed into a prime (10682041) 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, 30611 + ... + 30957.

It is an arithmetic number, because the mean of its divisors is an integer number (419862).

Almost surely, 2^10682048 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 10682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11756136).

10682048 is an abundant number, since it is smaller than the sum of its proper divisors (12830224).

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

10682048 is a wasteful number, since it uses less digits than its factorization.

10682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 10682048 is about 3268.3402515650. The cubic root of 10682048 is about 220.2342408661.

The spelling of 10682048 in words is "ten million, six hundred eighty-two thousand, forty-eight".