13820360 has 32 divisors (see below), whose sum is σ = 31528440. Its totient is φ = 5451264.

The previous prime is 13820299. The next prime is 13820381. The reversal of 13820360 is 6302831.

It can be written as a sum of positive squares in 4 ways, for example, as 9351364 + 4468996 = 3058^2 + 2114^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 554 + ... + 5286.

Almost surely, 2^13820360 is an apocalyptic number.

13820360 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 13820360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764220).

13820360 is an abundant number, since it is smaller than the sum of its proper divisors (17708080).

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

13820360 is a wasteful number, since it uses less digits than its factorization.

13820360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 13820360 is about 3717.5744780703. The cubic root of 13820360 is about 239.9789333361.

The spelling of 13820360 in words is "thirteen million, eight hundred twenty thousand, three hundred sixty".