12084960 has 96 divisors (see below), whose sum is σ = 40334112. Its totient is φ = 3031040.

The previous prime is 12084929. The next prime is 12084973. The reversal of 12084960 is 6948021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7420 + ... + 8900.

It is an arithmetic number, because the mean of its divisors is an integer number (420147).

Almost surely, 2^12084960 is an apocalyptic number.

12084960 is a gapful number since it is divisible by the number (10) 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 12084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167056).

12084960 is an abundant number, since it is smaller than the sum of its proper divisors (28249152).

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

12084960 is a wasteful number, since it uses less digits than its factorization.

12084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12084960 is about 3476.3429059861. The cubic root of 12084960 is about 229.4818835050.

The spelling of 12084960 in words is "twelve million, eighty-four thousand, nine hundred sixty".