13271664 has 40 divisors (see below), whose sum is σ = 39184000. Its totient is φ = 3791808.

The previous prime is 13271663. The next prime is 13271669. The reversal of 13271664 is 46617231.

It is a super-2 number, since 2×13271664² = 352274130657792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13271663) 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, 19414 + ... + 20085.

It is an arithmetic number, because the mean of its divisors is an integer number (979600).

Almost surely, 2^13271664 is an apocalyptic number.

13271664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13271664 is an abundant number, since it is smaller than the sum of its proper divisors (25912336).

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

13271664 is a wasteful number, since it uses less digits than its factorization.

13271664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39517 (or 39511 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 13271664 is about 3643.0295085272. The cubic root of 13271664 is about 236.7600698133.

Adding to 13271664 its reverse (46617231), we get a palindrome (59888895).

The spelling of 13271664 in words is "thirteen million, two hundred seventy-one thousand, six hundred sixty-four".