12968340 has 144 divisors (see below), whose sum is σ = 46194624. Its totient is φ = 2688000.

The previous prime is 12968339. The next prime is 12968353. The reversal of 12968340 is 4386921.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32140 + ... + 32540.

It is an arithmetic number, because the mean of its divisors is an integer number (320796).

Almost surely, 2^12968340 is an apocalyptic number.

12968340 is a gapful number since it is divisible by the number (10) 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 12968340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23097312).

12968340 is an abundant number, since it is smaller than the sum of its proper divisors (33226284).

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

12968340 is a wasteful number, since it uses less digits than its factorization.

12968340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12968340 is about 3601.1581470410. The cubic root of 12968340 is about 234.9424334624.

The spelling of 12968340 in words is "twelve million, nine hundred sixty-eight thousand, three hundred forty".