13785390 has 112 divisors (see below), whose sum is σ = 39033216. Its totient is φ = 3499200.

The previous prime is 13785383. The next prime is 13785391. The reversal of 13785390 is 9358731.

13785390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785391) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 225960 + ... + 226020.

Almost surely, 2^13785390 is an apocalyptic number.

13785390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13785390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19516608).

13785390 is an abundant number, since it is smaller than the sum of its proper divisors (25247826).

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

13785390 is an equidigital number, since it uses as much as digits as its factorization.

13785390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13785390 is about 3712.8681635630. The cubic root of 13785390 is about 239.7763541586.

The spelling of 13785390 in words is "thirteen million, seven hundred eighty-five thousand, three hundred ninety".