13007160 has 48 divisors (see below), whose sum is σ = 42274440. Its totient is φ = 3468480.

The previous prime is 13007143. The next prime is 13007171. The reversal of 13007160 is 6170031.

13007160 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 2×13007160² = 338372422531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17706 + ... + 18425.

Almost surely, 2^13007160 is an apocalyptic number.

13007160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13007160 is an abundant number, since it is smaller than the sum of its proper divisors (29267280).

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

13007160 is a wasteful number, since it uses less digits than its factorization.

13007160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36148 (or 36141 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13007160 is about 3606.5440521363. The cubic root of 13007160 is about 235.1766289425.

Adding to 13007160 its reverse (6170031), we get a palindrome (19177191).

The spelling of 13007160 in words is "thirteen million, seven thousand, one hundred sixty".