12831840 has 288 divisors, whose sum is σ = 53464320. Its totient is φ = 2737152.

The previous prime is 12831827. The next prime is 12831857. The reversal of 12831840 is 4813821.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12831840² = 329312235571200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191487 + ... + 191553.

It is an arithmetic number, because the mean of its divisors is an integer number (185640).

Almost surely, 2^12831840 is an apocalyptic number.

12831840 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 12831840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160).

12831840 is an abundant number, since it is smaller than the sum of its proper divisors (40632480).

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

12831840 is a wasteful number, since it uses less digits than its factorization.

12831840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12831840 is about 3582.1557755073. The cubic root of 12831840 is about 234.1152182972.

The spelling of 12831840 in words is "twelve million, eight hundred thirty-one thousand, eight hundred forty".