12533376 has 64 divisors (see below), whose sum is σ = 33684480. Its totient is φ = 4128768.

The previous prime is 12533371. The next prime is 12533377. The reversal of 12533376 is 67333521.

12533376 = 80² + 81² + ... + 336².

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12533371) 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, 48640 + ... + 48896.

It is an arithmetic number, because the mean of its divisors is an integer number (526320).

Almost surely, 2^12533376 is an apocalyptic number.

12533376 is a gapful number since it is divisible by the number (16) 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 12533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842240).

12533376 is an abundant number, since it is smaller than the sum of its proper divisors (21151104).

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

12533376 is a wasteful number, since it uses less digits than its factorization.

12533376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its digits is 11340, while the sum is 30.

The square root of 12533376 is about 3540.2508385706. The cubic root of 12533376 is about 232.2858150036.

Adding to 12533376 its reverse (67333521), we get a palindrome (79866897).

The spelling of 12533376 in words is "twelve million, five hundred thirty-three thousand, three hundred seventy-six".