12858948 has 72 divisors (see below), whose sum is σ = 34234200. Its totient is φ = 4064256.

The previous prime is 12858947. The next prime is 12858949. The reversal of 12858948 is 84985821.

It is a happy number.

12858948 is a `hidden beast` number, since 1 + 28 + 589 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (12858947) and next prime (12858949).

It can be written as a sum of positive squares in 4 ways, for example, as 412164 + 12446784 = 642^2 + 3528^2 .

Its product of digits (184320) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (12858947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113740 + ... + 113852.

It is an arithmetic number, because the mean of its divisors is an integer number (475475).

Almost surely, 2^12858948 is an apocalyptic number.

12858948 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 12858948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117100).

12858948 is an abundant number, since it is smaller than the sum of its proper divisors (21375252).

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

12858948 is a wasteful number, since it uses less digits than its factorization.

12858948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

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

The square root of 12858948 is about 3585.9375343137. The cubic root of 12858948 is about 234.2799629618.

The spelling of 12858948 in words is "twelve million, eight hundred fifty-eight thousand, nine hundred forty-eight".