13780206 has 120 divisors (see below), whose sum is σ = 36692040. Its totient is φ = 3849120.

The previous prime is 13780201. The next prime is 13780211. The reversal of 13780206 is 60208731.

13780206 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13780201) and next prime (13780211).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13780206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13780201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 372420 + ... + 372456.

It is an arithmetic number, because the mean of its divisors is an integer number (305767).

Almost surely, 2^13780206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13780206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18346020).

13780206 is an abundant number, since it is smaller than the sum of its proper divisors (22911834).

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

13780206 is a wasteful number, since it uses less digits than its factorization.

13780206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13780206 is about 3712.1699853320. The cubic root of 13780206 is about 239.7462944006.

Adding to 13780206 its reverse (60208731), we get a palindrome (73988937).

The spelling of 13780206 in words is "thirteen million, seven hundred eighty thousand, two hundred six".