10681560 has 48 divisors (see below), whose sum is σ = 34716240. Its totient is φ = 2848320.

The previous prime is 10681529. The next prime is 10681571. The reversal of 10681560 is 6518601.

It is a super-2 number, since 2×10681560² = 228191448067200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14476 + ... + 15195.

It is an arithmetic number, because the mean of its divisors is an integer number (723255).

Almost surely, 2^10681560 is an apocalyptic number.

10681560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10681560 is an abundant number, since it is smaller than the sum of its proper divisors (24034680).

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

10681560 is a wasteful number, since it uses less digits than its factorization.

10681560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29688 (or 29681 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10681560 is about 3268.2655950825. The cubic root of 10681560 is about 220.2308870789.

It can be divided in two parts, 1068 and 1560, that added together give a triangular number (2628 = T₇₂).

The spelling of 10681560 in words is "ten million, six hundred eighty-one thousand, five hundred sixty".