12865248 has 144 divisors (see below), whose sum is σ = 41513472. Its totient is φ = 3744000.

The previous prime is 12865247. The next prime is 12865253. The reversal of 12865248 is 84256821.

12865248 is a `hidden beast` number, since 128 + 6 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12865248² = 331029212203008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12865247) 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, 98143 + ... + 98273.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 2^12865248 is an apocalyptic number.

12865248 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 12865248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).

12865248 is an abundant number, since it is smaller than the sum of its proper divisors (28648224).

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

12865248 is a wasteful number, since it uses less digits than its factorization.

12865248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12865248 is about 3586.8158581115. The cubic root of 12865248 is about 234.3182170708.

The spelling of 12865248 in words is "twelve million, eight hundred sixty-five thousand, two hundred forty-eight".