12874656 has 48 divisors (see below), whose sum is σ = 34630848. Its totient is φ = 4185600.

The previous prime is 12874633. The next prime is 12874657. The reversal of 12874656 is 65647821.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12874657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2301 + ... + 5571.

It is an arithmetic number, because the mean of its divisors is an integer number (721476).

Almost surely, 2^12874656 is an apocalyptic number.

12874656 is a gapful number since it is divisible by the number (16) 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 12874656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17315424).

12874656 is an abundant number, since it is smaller than the sum of its proper divisors (21756192).

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

12874656 is a wasteful number, since it uses less digits than its factorization.

12874656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3317 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 12874656 is about 3588.1270880503. The cubic root of 12874656 is about 234.3753199640.

It can be divided in two parts, 12874 and 656, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 12874656 in words is "twelve million, eight hundred seventy-four thousand, six hundred fifty-six".