12546464 has 48 divisors (see below), whose sum is σ = 28627200. Its totient is φ = 5301504.

The previous prime is 12546463. The next prime is 12546467. The reversal of 12546464 is 46464521.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12546464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12546461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17342 + ... + 18050.

It is an arithmetic number, because the mean of its divisors is an integer number (596400).

Almost surely, 2^12546464 is an apocalyptic number.

12546464 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 12546464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313600).

12546464 is an abundant number, since it is smaller than the sum of its proper divisors (16080736).

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

12546464 is an equidigital number, since it uses as much as digits as its factorization.

12546464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 12546464 is about 3542.0988128509. The cubic root of 12546464 is about 232.3666418330.

The spelling of 12546464 in words is "twelve million, five hundred forty-six thousand, four hundred sixty-four".