13783860 has 72 divisors (see below), whose sum is σ = 42424200. Its totient is φ = 3621888.

The previous prime is 13783859. The next prime is 13783879. The reversal of 13783860 is 6838731.

It can be written as a sum of positive squares in 4 ways, for example, as 4309776 + 9474084 = 2076^2 + 3078^2 .

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

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 12616 + ... + 13664.

It is an arithmetic number, because the mean of its divisors is an integer number (589225).

Almost surely, 2^13783860 is an apocalyptic number.

13783860 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 13783860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212100).

13783860 is an abundant number, since it is smaller than the sum of its proper divisors (28640340).

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

13783860 is a wasteful number, since it uses less digits than its factorization.

13783860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13783860 is about 3712.6621176724. The cubic root of 13783860 is about 239.7674831390.

The spelling of 13783860 in words is "thirteen million, seven hundred eighty-three thousand, eight hundred sixty".