12958848 has 96 divisors (see below), whose sum is σ = 42644160. Its totient is φ = 3700224.

The previous prime is 12958807. The next prime is 12958859. The reversal of 12958848 is 84885921.

It is a happy number.

12958848 is a `hidden beast` number, since 1 + 29 + 588 + 48 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7261 + ... + 8867.

It is an arithmetic number, because the mean of its divisors is an integer number (444210).

Almost surely, 2^12958848 is an apocalyptic number.

12958848 is a gapful number since it is divisible by the number (18) 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 12958848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21322080).

12958848 is an abundant number, since it is smaller than the sum of its proper divisors (29685312).

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

12958848 is a wasteful number, since it uses less digits than its factorization.

12958848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1619 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 12958848 is about 3599.8399964443. The cubic root of 12958848 is about 234.8850984992.

The spelling of 12958848 in words is "twelve million, nine hundred fifty-eight thousand, eight hundred forty-eight".