13009920 has 264 divisors, whose sum is σ = 52272192. Its totient is φ = 2703360.

The previous prime is 13009907. The next prime is 13009921. The reversal of 13009920 is 2990031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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 (13009921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182715 + ... + 1182725.

Almost surely, 2^13009920 is an apocalyptic number.

13009920 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 13009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26136096).

13009920 is an abundant number, since it is smaller than the sum of its proper divisors (39262272).

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

13009920 is a wasteful number, since it uses less digits than its factorization.

13009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 13009920 is about 3606.9266696178. The cubic root of 13009920 is about 235.1932618737.

Adding to 13009920 its reverse (2990031), we get a palindrome (15999951).

The spelling of 13009920 in words is "thirteen million, nine thousand, nine hundred twenty".