13270608 has 160 divisors (see below), whose sum is σ = 43747200. Its totient is φ = 3815424.

The previous prime is 13270601. The next prime is 13270613. The reversal of 13270608 is 80607231.

13270608 = 49³ + 50³ + ... + 87³.

13270608 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 2×13270608² = 352218073379328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13270601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95403 + ... + 95541.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^13270608 is an apocalyptic number.

13270608 is a gapful number since it is divisible by the number (18) 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 13270608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873600).

13270608 is an abundant number, since it is smaller than the sum of its proper divisors (30476592).

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

13270608 is a wasteful number, since it uses less digits than its factorization.

13270608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13270608 is about 3642.8845713253. The cubic root of 13270608 is about 236.7537901369.

Adding to 13270608 its reverse (80607231), we get a palindrome (93877839).

The spelling of 13270608 in words is "thirteen million, two hundred seventy thousand, six hundred eight".