12827520 has 192 divisors, whose sum is σ = 47258640. Its totient is φ = 3194880.

The previous prime is 12827513. The next prime is 12827531. The reversal of 12827520 is 2572821.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97855 + ... + 97985.

Almost surely, 2^12827520 is an apocalyptic number.

12827520 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 12827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23629320).

12827520 is an abundant number, since it is smaller than the sum of its proper divisors (34431120).

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

12827520 is a wasteful number, since it uses less digits than its factorization.

12827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12827520 is about 3581.5527358954. The cubic root of 12827520 is about 234.0889427393.

The spelling of 12827520 in words is "twelve million, eight hundred twenty-seven thousand, five hundred twenty".