13461632 has 32 divisors (see below), whose sum is σ = 26989200. Its totient is φ = 6688000.

The previous prime is 13461631. The next prime is 13461659. The reversal of 13461632 is 23616431.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13461632² = 362431072206848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13461631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31919 + ... + 32337.

Almost surely, 2^13461632 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 13461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600).

13461632 is an abundant number, since it is smaller than the sum of its proper divisors (13527568).

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

13461632 is an equidigital number, since it uses as much as digits as its factorization.

13461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 672 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 13461632 is about 3669.0096756482. The cubic root of 13461632 is about 237.8843681876.

The spelling of 13461632 in words is "thirteen million, four hundred sixty-one thousand, six hundred thirty-two".