13436420 has 36 divisors (see below), whose sum is σ = 29795724. Its totient is φ = 5088960.

The previous prime is 13436417. The next prime is 13436431. The reversal of 13436420 is 2463431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1478656 + 11957764 = 1216^2 + 3458^2 .

It is a super-6 number, since 6×13436420⁶ (a number of 44 digits) contains 666666 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6290 + ... + 8150.

It is an arithmetic number, because the mean of its divisors is an integer number (827659).

Almost surely, 2^13436420 is an apocalyptic number.

13436420 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 13436420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897862).

13436420 is an abundant number, since it is smaller than the sum of its proper divisors (16359304).

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

13436420 is a wasteful number, since it uses less digits than its factorization.

13436420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 13436420 is about 3665.5722609164. The cubic root of 13436420 is about 237.7357658781.

Adding to 13436420 its reverse (2463431), we get a palindrome (15899851).

It can be divided in two parts, 13436 and 420, that multiplied together give a triangular number (5643120 = T₃₃₅₉).

The spelling of 13436420 in words is "thirteen million, four hundred thirty-six thousand, four hundred twenty".