13461936 has 80 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 4250880.

The previous prime is 13461919. The next prime is 13461941. The reversal of 13461936 is 63916431.

13461936 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13461897 and 13461906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123450 + ... + 123558.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 2^13461936 is an apocalyptic number.

13461936 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 13461936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

13461936 is an abundant number, since it is smaller than the sum of its proper divisors (23202384).

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

13461936 is a wasteful number, since it uses less digits than its factorization.

13461936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 13461936 is about 3669.0511034871. The cubic root of 13461936 is about 237.8861588646.

The spelling of 13461936 in words is "thirteen million, four hundred sixty-one thousand, nine hundred thirty-six".