12735320 has 64 divisors (see below), whose sum is σ = 32508000. Its totient is φ = 4451328.

The previous prime is 12735311. The next prime is 12735337. The reversal of 12735320 is 2353721.

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, 9236 + ... + 10524.

Almost surely, 2^12735320 is an apocalyptic number.

12735320 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 12735320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254000).

12735320 is an abundant number, since it is smaller than the sum of its proper divisors (19772680).

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

12735320 is a wasteful number, since it uses less digits than its factorization.

12735320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 12735320 is about 3568.6580110736. The cubic root of 12735320 is about 233.5267421345.

The spelling of 12735320 in words is "twelve million, seven hundred thirty-five thousand, three hundred twenty".