12952368 has 240 divisors, whose sum is σ = 46309536. Its totient is φ = 3317760.

The previous prime is 12952367. The next prime is 12952369. The reversal of 12952368 is 86325921.

12952368 is a `hidden beast` number, since 1 + 295 + 2 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (12952367) and next prime (12952369).

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 (12952367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350046 + ... + 350082.

Almost surely, 2^12952368 is an apocalyptic number.

12952368 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 12952368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

12952368 is an abundant number, since it is smaller than the sum of its proper divisors (33357168).

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

12952368 is a wasteful number, since it uses less digits than its factorization.

12952368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12952368 is about 3598.9398438985. The cubic root of 12952368 is about 234.8459409751.

It can be divided in two parts, 1295 and 2368, that added together give a palindrome (3663).

The spelling of 12952368 in words is "twelve million, nine hundred fifty-two thousand, three hundred sixty-eight".