12933940 has 48 divisors (see below), whose sum is σ = 29106000. Its totient is φ = 4810752.

The previous prime is 12933931. The next prime is 12933941. The reversal of 12933940 is 4933921.

12933940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1127844 + 11806096 = 1062^2 + 3436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12933941) 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, 36886 + ... + 37234.

It is an arithmetic number, because the mean of its divisors is an integer number (606375).

Almost surely, 2^12933940 is an apocalyptic number.

12933940 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 12933940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14553000).

12933940 is an abundant number, since it is smaller than the sum of its proper divisors (16172060).

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

12933940 is a wasteful number, since it uses less digits than its factorization.

12933940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 12933940 is about 3596.3787342270. The cubic root of 12933940 is about 234.7345123144.

The spelling of 12933940 in words is "twelve million, nine hundred thirty-three thousand, nine hundred forty".