13205920 has 96 divisors (see below), whose sum is σ = 38441088. Its totient is φ = 4174848.

The previous prime is 13205891. The next prime is 13205953. The reversal of 13205920 is 2950231.

It is a junction number, because it is equal to n+sod(n) for n = 13205891 and 13205900.

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, 14107 + ... + 15013.

It is an arithmetic number, because the mean of its divisors is an integer number (400428).

Almost surely, 2^13205920 is an apocalyptic number.

13205920 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 13205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220544).

13205920 is an abundant number, since it is smaller than the sum of its proper divisors (25235168).

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

13205920 is a wasteful number, since it uses less digits than its factorization.

13205920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 13205920 is about 3633.9950467770. The cubic root of 13205920 is about 236.3684754254.

The spelling of 13205920 in words is "thirteen million, two hundred five thousand, nine hundred twenty".