13812840 has 192 divisors, whose sum is σ = 49617360. Its totient is φ = 3317760.

The previous prime is 13812833. The next prime is 13812853. The reversal of 13812840 is 4821831.

13812840 is a `hidden beast` number, since 1 + 381 + 284 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6937956 + 6874884 = 2634^2 + 2622^2 .

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, 226410 + ... + 226470.

Almost surely, 2^13812840 is an apocalyptic number.

13812840 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 13812840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24808680).

13812840 is an abundant number, since it is smaller than the sum of its proper divisors (35804520).

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

13812840 is a wasteful number, since it uses less digits than its factorization.

13812840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

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

The square root of 13812840 is about 3716.5629282981. The cubic root of 13812840 is about 239.9353992797.

The spelling of 13812840 in words is "thirteen million, eight hundred twelve thousand, eight hundred forty".