13436496 has 80 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 4240512.

The previous prime is 13436461. The next prime is 13436497. The reversal of 13436496 is 69463431.

13436496 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 649 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13436496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13436497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7390 + ... + 9026.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^13436496 is an apocalyptic number.

13436496 is a gapful number since it is divisible by the number (16) 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 13436496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

13436496 is an abundant number, since it is smaller than the sum of its proper divisors (27185904).

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

13436496 is a wasteful number, since it uses less digits than its factorization.

13436496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1661 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 13436496 is about 3665.5826276323. The cubic root of 13436496 is about 237.7362141097.

Multiplying 13436496 by its sum of digits (36), we get a triangular number (483713856 = T₃₁₁₀₃).

The spelling of 13436496 in words is "thirteen million, four hundred thirty-six thousand, four hundred ninety-six".