13461536 has 48 divisors (see below), whose sum is σ = 29211840. Its totient is φ = 6055680.

The previous prime is 13461493. The next prime is 13461551. The reversal of 13461536 is 63516431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13461499 and 13461508.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58670 + ... + 58898.

It is an arithmetic number, because the mean of its divisors is an integer number (608580).

Almost surely, 2^13461536 is an apocalyptic number.

13461536 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 13461536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605920).

13461536 is an abundant number, since it is smaller than the sum of its proper divisors (15750304).

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

13461536 is a wasteful number, since it uses less digits than its factorization.

13461536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 13461536 is about 3668.9965930756. The cubic root of 13461536 is about 237.8838027051.

Adding to 13461536 its reverse (63516431), we get a palindrome (76977967).

It can be divided in two parts, 1346 and 1536, that added together give a palindrome (2882).

The spelling of 13461536 in words is "thirteen million, four hundred sixty-one thousand, five hundred thirty-six".