10684944 has 30 divisors (see below), whose sum is σ = 29903406. Its totient is φ = 3561600.

The previous prime is 10684909. The next prime is 10684951. The reversal of 10684944 is 44948601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 3459600 = 2688^2 + 1860^2 .

It is a super-2 number, since 2×10684944² = 228336056566272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10684899 and 10684908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36957 + ... + 37244.

Almost surely, 2^10684944 is an apocalyptic number.

It is an amenable number.

10684944 is an abundant number, since it is smaller than the sum of its proper divisors (19218462).

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

10684944 is a wasteful number, since it uses less digits than its factorization.

10684944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74215 (or 74206 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10684944 is about 3268.7832598690. The cubic root of 10684944 is about 220.2541415671.

It can be divided in two parts, 10684 and 944, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 10684944 in words is "ten million, six hundred eighty-four thousand, nine hundred forty-four".