12953472 has 128 divisors (see below), whose sum is σ = 40473600. Its totient is φ = 3594240.

The previous prime is 12953471. The next prime is 12953483. The reversal of 12953472 is 27435921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163929 + ... + 164007.

It is an arithmetic number, because the mean of its divisors is an integer number (316200).

Almost surely, 2^12953472 is an apocalyptic number.

12953472 is a gapful number since it is divisible by the number (12) 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 12953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236800).

12953472 is an abundant number, since it is smaller than the sum of its proper divisors (27520128).

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

12953472 is an equidigital number, since it uses as much as digits as its factorization.

12953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 12953472 is about 3599.0932191317. The cubic root of 12953472 is about 234.8526131799.

The spelling of 12953472 in words is "twelve million, nine hundred fifty-three thousand, four hundred seventy-two".