13675820 has 96 divisors (see below), whose sum is σ = 33566400. Its totient is φ = 4644864.

The previous prime is 13675811. The next prime is 13675841. The reversal of 13675820 is 2857631.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 187304 + ... + 187376.

It is an arithmetic number, because the mean of its divisors is an integer number (349650).

Almost surely, 2^13675820 is an apocalyptic number.

13675820 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 13675820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783200).

13675820 is an abundant number, since it is smaller than the sum of its proper divisors (19890580).

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

13675820 is a wasteful number, since it uses less digits than its factorization.

13675820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 13675820 is about 3698.0832873260. The cubic root of 13675820 is about 239.1393945331.

The spelling of 13675820 in words is "thirteen million, six hundred seventy-five thousand, eight hundred twenty".