12845952 has 192 divisors, whose sum is σ = 44553600. Its totient is φ = 3608064.

The previous prime is 12845951. The next prime is 12845969. The reversal of 12845952 is 25954821.

It is a tau number, because it is divible by the number of its divisors (192).

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 (12845951) 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, 217699 + ... + 217757.

It is an arithmetic number, because the mean of its divisors is an integer number (232050).

Almost surely, 2^12845952 is an apocalyptic number.

12845952 is a gapful number since it is divisible by the number (12) 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 12845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

12845952 is an abundant number, since it is smaller than the sum of its proper divisors (31707648).

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

12845952 is an frugal number, since it uses more digits than its factorization.

12845952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 12845952 is about 3584.1249978202. The cubic root of 12845952 is about 234.2010107103.

The spelling of 12845952 in words is "twelve million, eight hundred forty-five thousand, nine hundred fifty-two".