13461684 has 48 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 4278400.

The previous prime is 13461683. The next prime is 13461689. The reversal of 13461684 is 48616431.

13461684 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 super-2 number, since 2×13461684² = 362433872231712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13461683) 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, 34957 + ... + 35339.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 2^13461684 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 13461684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

13461684 is an abundant number, since it is smaller than the sum of its proper divisors (19439436).

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

13461684 is a wasteful number, since it uses less digits than its factorization.

13461684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 518 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 13461684 is about 3669.0167620222. The cubic root of 13461684 is about 237.8846744895.

The spelling of 13461684 in words is "thirteen million, four hundred sixty-one thousand, six hundred eighty-four".