10681940 has 24 divisors (see below), whose sum is σ = 22506120. Its totient is φ = 4258688.

The previous prime is 10681927. The next prime is 10681961. The reversal of 10681940 is 4918601.

It can be written as a sum of positive squares in 4 ways, for example, as 2650384 + 8031556 = 1628^2 + 2834^2 .

It is a super-2 number, since 2×10681940² = 228207684327200, 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 7 ways as a sum of consecutive naturals, for example, 7094 + ... + 8466.

It is an arithmetic number, because the mean of its divisors is an integer number (937755).

Almost surely, 2^10681940 is an apocalyptic number.

10681940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10681940 is an abundant number, since it is smaller than the sum of its proper divisors (11824180).

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

10681940 is a wasteful number, since it uses less digits than its factorization.

10681940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 10681940 is about 3268.3237293757. The cubic root of 10681940 is about 220.2334986433.

The spelling of 10681940 in words is "ten million, six hundred eighty-one thousand, nine hundred forty".