10680736 has 48 divisors (see below), whose sum is σ = 24161760. Its totient is φ = 4596480.

The previous prime is 10680731. The next prime is 10680737. The reversal of 10680736 is 63708601.

It is a super-2 number, since 2×10680736² = 228156243003392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10680698 and 10680707.

It is not an unprimeable number, because it can be changed into a prime (10680731) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5890 + ... + 7486.

It is an arithmetic number, because the mean of its divisors is an integer number (503370).

Almost surely, 2^10680736 is an apocalyptic number.

10680736 is a gapful number since it is divisible by the number (16) 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 10680736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080880).

10680736 is an abundant number, since it is smaller than the sum of its proper divisors (13481024).

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

10680736 is a wasteful number, since it uses less digits than its factorization.

10680736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 10680736 is about 3268.1395319050. The cubic root of 10680736 is about 220.2252238949.

The spelling of 10680736 in words is "ten million, six hundred eighty thousand, seven hundred thirty-six".