12363948 has 48 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 4095504.

The previous prime is 12363943. The next prime is 12363973. The reversal of 12363948 is 84936321.

12363948 is a `hidden beast` number, since 12 + 3 + 639 + 4 + 8 = 666.

12363948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12363941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25573 + ... + 26051.

It is an arithmetic number, because the mean of its divisors is an integer number (672000).

Almost surely, 2^12363948 is an apocalyptic number.

12363948 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 12363948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

12363948 is an abundant number, since it is smaller than the sum of its proper divisors (19892052).

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

12363948 is a wasteful number, since it uses less digits than its factorization.

12363948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 723 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12363948 is about 3516.2406061019. The cubic root of 12363948 is about 231.2343716733.

It can be divided in two parts, 1236 and 3948, that added together give a square (5184 = 72²).

The spelling of 12363948 in words is "twelve million, three hundred sixty-three thousand, nine hundred forty-eight".