12948520 has 64 divisors (see below), whose sum is σ = 32271120. Its totient is φ = 4644864.

The previous prime is 12948493. The next prime is 12948527. The reversal of 12948520 is 2584921.

It can be written as a sum of positive squares in 8 ways, for example, as 4848804 + 8099716 = 2202^2 + 2846^2 .

It is not an unprimeable number, because it can be changed into a prime (12948527) 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, 18904 + ... + 19576.

Almost surely, 2^12948520 is an apocalyptic number.

12948520 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 12948520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135560).

12948520 is an abundant number, since it is smaller than the sum of its proper divisors (19322600).

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

12948520 is a wasteful number, since it uses less digits than its factorization.

12948520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 12948520 is about 3598.4052023084. The cubic root of 12948520 is about 234.8226819930.

The spelling of 12948520 in words is "twelve million, nine hundred forty-eight thousand, five hundred twenty".