12375648 has 72 divisors (see below), whose sum is σ = 35636328. Its totient is φ = 4073472.

The previous prime is 12375641. The next prime is 12375653. The reversal of 12375648 is 84657321.

12375648 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 5 + 648 = 666.

12375648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 (12375641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27715 + ... + 28157.

It is an arithmetic number, because the mean of its divisors is an integer number (494949).

Almost surely, 2^12375648 is an apocalyptic number.

12375648 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 12375648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818164).

12375648 is an abundant number, since it is smaller than the sum of its proper divisors (23260680).

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

12375648 is a wasteful number, since it uses less digits than its factorization.

12375648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 12375648 is about 3517.9039213714. The cubic root of 12375648 is about 231.3072876818.

The spelling of 12375648 in words is "twelve million, three hundred seventy-five thousand, six hundred forty-eight".