13352820 has 192 divisors, whose sum is σ = 45722880. Its totient is φ = 2875392.

The previous prime is 13352783. The next prime is 13352831. The reversal of 13352820 is 2825331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251914 + ... + 251966.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^13352820 is an apocalyptic number.

13352820 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 13352820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

13352820 is an abundant number, since it is smaller than the sum of its proper divisors (32370060).

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

13352820 is a wasteful number, since it uses less digits than its factorization.

13352820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13352820 is about 3654.1510642008. The cubic root of 13352820 is about 237.2416840578.

The spelling of 13352820 in words is "thirteen million, three hundred fifty-two thousand, eight hundred twenty".