13418820 has 72 divisors (see below), whose sum is σ = 41094144. Its totient is φ = 3544128.

The previous prime is 13418819. The next prime is 13418833. The reversal of 13418820 is 2881431.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22567 + ... + 23153.

It is an arithmetic number, because the mean of its divisors is an integer number (570752).

Almost surely, 2^13418820 is an apocalyptic number.

13418820 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 13418820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547072).

13418820 is an abundant number, since it is smaller than the sum of its proper divisors (27675324).

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

13418820 is a wasteful number, since it uses less digits than its factorization.

13418820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13418820 is about 3663.1707576907. The cubic root of 13418820 is about 237.6319193250.

The spelling of 13418820 in words is "thirteen million, four hundred eighteen thousand, eight hundred twenty".