13218920 has 64 divisors (see below), whose sum is σ = 34957440. Its totient is φ = 4435200.

The previous prime is 13218901. The next prime is 13218923. The reversal of 13218920 is 2981231.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13218920.

It is not an unprimeable number, because it can be changed into a prime (13218923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4565 + ... + 6875.

It is an arithmetic number, because the mean of its divisors is an integer number (546210).

Almost surely, 2^13218920 is an apocalyptic number.

13218920 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 13218920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478720).

13218920 is an abundant number, since it is smaller than the sum of its proper divisors (21738520).

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

13218920 is a wasteful number, since it uses less digits than its factorization.

13218920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 13218920 is about 3635.7832718687. The cubic root of 13218920 is about 236.4460109155.

The spelling of 13218920 in words is "thirteen million, two hundred eighteen thousand, nine hundred twenty".