13618980 has 72 divisors (see below), whose sum is σ = 42751800. Its totient is φ = 3505152.

The previous prime is 13618973. The next prime is 13618981. The reversal of 13618980 is 8981631.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 12236004 = 1176^2 + 3498^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13618981) 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, 3916 + ... + 6524.

It is an arithmetic number, because the mean of its divisors is an integer number (593775).

Almost surely, 2^13618980 is an apocalyptic number.

13618980 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 13618980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21375900).

13618980 is an abundant number, since it is smaller than the sum of its proper divisors (29132820).

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

13618980 is a wasteful number, since it uses less digits than its factorization.

13618980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13618980 is about 3690.3902232691. The cubic root of 13618980 is about 238.8076275099.

The spelling of 13618980 in words is "thirteen million, six hundred eighteen thousand, nine hundred eighty".