10682892 has 72 divisors (see below), whose sum is σ = 30073680. Its totient is φ = 3169920.

The previous prime is 10682887. The next prime is 10682897. The reversal of 10682892 is 29828601.

It is an interprime number because it is at equal distance from previous prime (10682887) and next prime (10682897).

It is a super-2 number, since 2×10682892² = 228248362967328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10682897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20734 + ... + 21242.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^10682892 is an apocalyptic number.

10682892 is a gapful number since it is divisible by the number (12) 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 10682892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840).

10682892 is an abundant number, since it is smaller than the sum of its proper divisors (19390788).

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

10682892 is a wasteful number, since it uses less digits than its factorization.

10682892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10682892 is about 3268.4693665384. The cubic root of 10682892 is about 220.2400410273.

The spelling of 10682892 in words is "ten million, six hundred eighty-two thousand, eight hundred ninety-two".