10684989 has 18 divisors (see below), whose sum is σ = 17954430. Its totient is φ = 6105456.

The previous prime is 10684967. The next prime is 10684991. The reversal of 10684989 is 98948601.

It can be written as a sum of positive squares in only one way, i.e., 7112889 + 3572100 = 2667^2 + 1890^2 .

It is not a de Polignac number, because 10684989 - 2¹² = 10680893 is a prime.

It is a super-3 number, since 3×10684989³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10684909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11674 + ... + 12555.

Almost surely, 2^10684989 is an apocalyptic number.

It is an amenable number.

10684989 is a deficient number, since it is larger than the sum of its proper divisors (7269441).

10684989 is a wasteful number, since it uses less digits than its factorization.

10684989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24249 (or 24239 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 10684989 is about 3268.7901431569. The cubic root of 10684989 is about 220.2544507693.

The spelling of 10684989 in words is "ten million, six hundred eighty-four thousand, nine hundred eighty-nine".