10642681 has 16 divisors (see below), whose sum is σ = 12729600. Its totient is φ = 8705088.

The previous prime is 10642669. The next prime is 10642691. The reversal of 10642681 is 18624601.

10642681 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10642681 - 2⁵ = 10642649 is a prime.

It is a super-2 number, since 2×10642681² = 226533317735522, which contains 22 as substring.

It is a Duffinian number.

10642681 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10642661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20655 + ... + 21163.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 2^10642681 is an apocalyptic number.

It is an amenable number.

10642681 is a deficient number, since it is larger than the sum of its proper divisors (2086919).

10642681 is a wasteful number, since it uses less digits than its factorization.

10642681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10642681 is about 3262.3122168180. The cubic root of 10642681 is about 219.9633616673.

The spelling of 10642681 in words is "ten million, six hundred forty-two thousand, six hundred eighty-one".