12364464 has 80 divisors (see below), whose sum is σ = 37299200. Its totient is φ = 3528000.

The previous prime is 12364441. The next prime is 12364487. The reversal of 12364464 is 46446321.

12364464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12364441) and next prime (12364487).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16089 + ... + 16839.

It is an arithmetic number, because the mean of its divisors is an integer number (466240).

Almost surely, 2^12364464 is an apocalyptic number.

12364464 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 12364464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649600).

12364464 is an abundant number, since it is smaller than the sum of its proper divisors (24934736).

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

12364464 is an equidigital number, since it uses as much as digits as its factorization.

12364464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 763 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 12364464 is about 3516.3139791549. The cubic root of 12364464 is about 231.2375884257.

The spelling of 12364464 in words is "twelve million, three hundred sixty-four thousand, four hundred sixty-four".