12736536 has 128 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 3594240.

The previous prime is 12736489. The next prime is 12736543. The reversal of 12736536 is 63563721.

12736536 = T₃₆₃ + T₃₆₄ + ... + T₄₉₈.

It is a junction number, because it is equal to n+sod(n) for n = 12736497 and 12736506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240286 + ... + 240338.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 2^12736536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12736536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

12736536 is an abundant number, since it is smaller than the sum of its proper divisors (24588264).

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

12736536 is a wasteful number, since it uses less digits than its factorization.

12736536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 12736536 is about 3568.8283791743. The cubic root of 12736536 is about 233.5341744691.

It can be divided in two parts, 127 and 36536, that added together give a palindrome (36663).

The spelling of 12736536 in words is "twelve million, seven hundred thirty-six thousand, five hundred thirty-six".