10609984 has 56 divisors (see below), whose sum is σ = 26261568. Its totient is φ = 4131840.

The previous prime is 10609981. The next prime is 10609987. The reversal of 10609984 is 48990601.

It is an interprime number because it is at equal distance from previous prime (10609981) and next prime (10609987).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10609984² = 225143520960512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10609981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3852 + ... + 6004.

Almost surely, 2^10609984 is an apocalyptic number.

10609984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10609984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13130784).

10609984 is an abundant number, since it is smaller than the sum of its proper divisors (15651584).

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

10609984 is a wasteful number, since it uses less digits than its factorization.

10609984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 10609984 is about 3257.2970389573. The cubic root of 10609984 is about 219.7378696134.

The spelling of 10609984 in words is "ten million, six hundred nine thousand, nine hundred eighty-four".