13270632 has 64 divisors (see below), whose sum is σ = 35856000. Its totient is φ = 4080384.

The previous prime is 13270627. The next prime is 13270637. The reversal of 13270632 is 23607231.

It is an interprime number because it is at equal distance from previous prime (13270627) and next prime (13270637).

It is a super-2 number, since 2×13270632² = 352219347358848, 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 (13270637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15594 + ... + 16422.

It is an arithmetic number, because the mean of its divisors is an integer number (560250).

Almost surely, 2^13270632 is an apocalyptic number.

13270632 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 13270632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17928000).

13270632 is an abundant number, since it is smaller than the sum of its proper divisors (22585368).

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

13270632 is a wasteful number, since it uses less digits than its factorization.

13270632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 13270632 is about 3642.8878654167. The cubic root of 13270632 is about 236.7539328606.

Adding to 13270632 its reverse (23607231), we get a palindrome (36877863).

The spelling of 13270632 in words is "thirteen million, two hundred seventy thousand, six hundred thirty-two".