10587681 has 18 divisors (see below), whose sum is σ = 16562598. Its totient is φ = 6514560.

The previous prime is 10587677. The next prime is 10587691. The reversal of 10587681 is 18678501.

10587681 is a `hidden beast` number, since 10 + 587 + 68 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 245025 + 10342656 = 495^2 + 3216^2 .

It is not a de Polignac number, because 10587681 - 2² = 10587677 is a prime.

It is a super-2 number, since 2×10587681² = 224197977915522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10587601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1960 + ... + 5001.

Almost surely, 2^10587681 is an apocalyptic number.

It is an amenable number.

10587681 is a deficient number, since it is larger than the sum of its proper divisors (5974917).

10587681 is a wasteful number, since it uses less digits than its factorization.

10587681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 10587681 is about 3253.8716938441. The cubic root of 10587681 is about 219.5837929851.

The spelling of 10587681 in words is "ten million, five hundred eighty-seven thousand, six hundred eighty-one".