12953320 has 64 divisors (see below), whose sum is σ = 31648320. Its totient is φ = 4752384.

The previous prime is 12953299. The next prime is 12953323. The reversal of 12953320 is 2335921.

It is a happy number.

12953320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12953323) 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, 29019 + ... + 29461.

It is an arithmetic number, because the mean of its divisors is an integer number (494505).

Almost surely, 2^12953320 is an apocalyptic number.

12953320 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 12953320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15824160).

12953320 is an abundant number, since it is smaller than the sum of its proper divisors (18695000).

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

12953320 is a wasteful number, since it uses less digits than its factorization.

12953320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 12953320 is about 3599.0721026398. The cubic root of 12953320 is about 234.8516945655.

The spelling of 12953320 in words is "twelve million, nine hundred fifty-three thousand, three hundred twenty".