13006920 has 64 divisors (see below), whose sum is σ = 39424320. Its totient is φ = 3432704.

The previous prime is 13006919. The next prime is 13006933. The reversal of 13006920 is 2960031.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12334 + ... + 13346.

It is an arithmetic number, because the mean of its divisors is an integer number (616005).

Almost surely, 2^13006920 is an apocalyptic number.

13006920 is a gapful number since it is divisible by the number (10) 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 13006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19712160).

13006920 is an abundant number, since it is smaller than the sum of its proper divisors (26417400).

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

13006920 is a wasteful number, since it uses less digits than its factorization.

13006920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 13006920 is about 3606.5107791327. The cubic root of 13006920 is about 235.1751824895.

Adding to 13006920 its reverse (2960031), we get a palindrome (15966951).

The spelling of 13006920 in words is "thirteen million, six thousand, nine hundred twenty".