12577056 has 24 divisors (see below), whose sum is σ = 33015024. Its totient is φ = 4192320.

The previous prime is 12577051. The next prime is 12577063. The reversal of 12577056 is 65077521.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (12577051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65410 + ... + 65601.

It is an arithmetic number, because the mean of its divisors is an integer number (1375626).

Almost surely, 2^12577056 is an apocalyptic number.

12577056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12577056 is an abundant number, since it is smaller than the sum of its proper divisors (20437968).

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

12577056 is a wasteful number, since it uses less digits than its factorization.

12577056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131024 (or 131016 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 12577056 is about 3546.4145273783. The cubic root of 12577056 is about 232.5553481364. Note that the first 3 decimals are identical.

The spelling of 12577056 in words is "twelve million, five hundred seventy-seven thousand, fifty-six".