10681644 has 24 divisors (see below), whose sum is σ = 26390448. Its totient is φ = 3351040.

The previous prime is 10681633. The next prime is 10681663. The reversal of 10681644 is 44618601.

10681644 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×10681644² = 228195037085472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 25977 + ... + 26384.

It is an arithmetic number, because the mean of its divisors is an integer number (1099602).

Almost surely, 2^10681644 is an apocalyptic number.

It is an amenable number.

10681644 is an abundant number, since it is smaller than the sum of its proper divisors (15708804).

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

10681644 is a wasteful number, since it uses less digits than its factorization.

10681644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52385 (or 52383 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10681644 is about 3268.2784459100. The cubic root of 10681644 is about 220.2314643774.

It can be divided in two parts, 10681 and 644, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 10681644 in words is "ten million, six hundred eighty-one thousand, six hundred forty-four".