12833040 has 80 divisors (see below), whose sum is σ = 43407936. Its totient is φ = 3110400.

The previous prime is 12833033. The next prime is 12833053. The reversal of 12833040 is 4033821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12832998 and 12833016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210 + ... + 5070.

Almost surely, 2^12833040 is an apocalyptic number.

12833040 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 12833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703968).

12833040 is an abundant number, since it is smaller than the sum of its proper divisors (30574896).

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

12833040 is a wasteful number, since it uses less digits than its factorization.

12833040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12833040 is about 3582.3232684949. The cubic root of 12833040 is about 234.1225160166.

Adding to 12833040 its reverse (4033821), we get a palindrome (16866861).

The spelling of 12833040 in words is "twelve million, eight hundred thirty-three thousand, forty".