12466320 has 80 divisors (see below), whose sum is σ = 39045120. Its totient is φ = 3290112.

The previous prime is 12466313. The next prime is 12466367. The reversal of 12466320 is 2366421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 30276 + ... + 30684.

It is an arithmetic number, because the mean of its divisors is an integer number (488064).

Almost surely, 2^12466320 is an apocalyptic number.

12466320 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 12466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19522560).

12466320 is an abundant number, since it is smaller than the sum of its proper divisors (26578800).

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

12466320 is a wasteful number, since it uses less digits than its factorization.

12466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 12466320 is about 3530.7676219202. The cubic root of 12466320 is about 231.8708159120.

The spelling of 12466320 in words is "twelve million, four hundred sixty-six thousand, three hundred twenty".