13836420 has 168 divisors, whose sum is σ = 47558616. Its totient is φ = 3359232.

The previous prime is 13836413. The next prime is 13836439. The reversal of 13836420 is 2463831.

It is a happy number.

13836420 is a `hidden beast` number, since 13 + 8 + 3 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 13483584 = 594^2 + 3672^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 189504 + ... + 189576.

It is an arithmetic number, because the mean of its divisors is an integer number (283087).

Almost surely, 2^13836420 is an apocalyptic number.

13836420 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 13836420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23779308).

13836420 is an abundant number, since it is smaller than the sum of its proper divisors (33722196).

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

13836420 is a wasteful number, since it uses less digits than its factorization.

13836420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13836420 is about 3719.7338614476. The cubic root of 13836420 is about 240.0718534857.

It can be divided in two parts, 138364 and 20, that added together give a square (138384 = 372²).

The spelling of 13836420 in words is "thirteen million, eight hundred thirty-six thousand, four hundred twenty".