10665984 has 120 divisors (see below), whose sum is σ = 33553408. Its totient is φ = 2949120.

The previous prime is 10665983. The next prime is 10666001. The reversal of 10665984 is 48956601.

It is a super-2 number, since 2×10665984² = 227526429376512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10665983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344049 + ... + 344079.

Almost surely, 2^10665984 is an apocalyptic number.

10665984 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 10665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16776704).

10665984 is an abundant number, since it is smaller than the sum of its proper divisors (22887424).

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

10665984 is an frugal number, since it uses more digits than its factorization.

10665984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 10665984 is about 3265.8818104763. The cubic root of 10665984 is about 220.1237870851.

The spelling of 10665984 in words is "ten million, six hundred sixty-five thousand, nine hundred eighty-four".