12948576 has 96 divisors (see below), whose sum is σ = 37094400. Its totient is φ = 3939840.

The previous prime is 12948569. The next prime is 12948599. The reversal of 12948576 is 67584921.

It is a tau number, because it is divible by the number of its divisors (96).

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, 56430 + ... + 56658.

It is an arithmetic number, because the mean of its divisors is an integer number (386400).

Almost surely, 2^12948576 is an apocalyptic number.

12948576 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 12948576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547200).

12948576 is an abundant number, since it is smaller than the sum of its proper divisors (24145824).

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

12948576 is a wasteful number, since it uses less digits than its factorization.

12948576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 12948576 is about 3598.4129835248. The cubic root of 12948576 is about 234.8230205144.

It can be divided in two parts, 1294 and 8576, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 12948576 in words is "twelve million, nine hundred forty-eight thousand, five hundred seventy-six".