10681640 has 32 divisors (see below), whose sum is σ = 24290280. Its totient is φ = 4227072.

The previous prime is 10681633. The next prime is 10681663. The reversal of 10681640 is 4618601.

10681640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10125124 + 556516 = 3182^2 + 746^2 .

It is a super-2 number, since 2×10681640² = 228194866179200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2504 + ... + 5256.

Almost surely, 2^10681640 is an apocalyptic number.

10681640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10681640 is an abundant number, since it is smaller than the sum of its proper divisors (13608640).

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

10681640 is a wasteful number, since it uses less digits than its factorization.

10681640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10681640 is about 3268.2778339670. The cubic root of 10681640 is about 220.2314368871.

The spelling of 10681640 in words is "ten million, six hundred eighty-one thousand, six hundred forty".