12345984 has 96 divisors (see below), whose sum is σ = 40628640. Its totient is φ = 3525120.

The previous prime is 12345959. The next prime is 12346013. The reversal of 12345984 is 48954321.

12345984 is a `hidden beast` number, since 123 + 459 + 84 = 666.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7299 + ... + 8829.

It is an arithmetic number, because the mean of its divisors is an integer number (423215).

Almost surely, 2^12345984 is an apocalyptic number.

12345984 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 12345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20314320).

12345984 is an abundant number, since it is smaller than the sum of its proper divisors (28282656).

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

12345984 is a wasteful number, since it uses less digits than its factorization.

12345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1543 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12345984 is about 3513.6852448676. The cubic root of 12345984 is about 231.1223279675.

The spelling of 12345984 in words is "twelve million, three hundred forty-five thousand, nine hundred eighty-four".