13081632 has 48 divisors (see below), whose sum is σ = 35148960. Its totient is φ = 4257792.

The previous prime is 13081631. The next prime is 13081667. The reversal of 13081632 is 23618031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13081632² = 342258191566848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13081631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2544 + ... + 5712.

It is an arithmetic number, because the mean of its divisors is an integer number (732270).

Almost surely, 2^13081632 is an apocalyptic number.

13081632 is a gapful number since it is divisible by the number (12) 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 13081632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574480).

13081632 is an abundant number, since it is smaller than the sum of its proper divisors (22067328).

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

13081632 is a wasteful number, since it uses less digits than its factorization.

13081632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13081632 is about 3616.8538814832. The cubic root of 13081632 is about 235.6246066829.

Adding to 13081632 its reverse (23618031), we get a palindrome (36699663).

The spelling of 13081632 in words is "thirteen million, eighty-one thousand, six hundred thirty-two".