13842090 has 80 divisors (see below), whose sum is σ = 38890368. Its totient is φ = 3525984.

The previous prime is 13842083. The next prime is 13842091. The reversal of 13842090 is 9024831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13842091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18259 + ... + 19001.

Almost surely, 2^13842090 is an apocalyptic number.

13842090 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 13842090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445184).

13842090 is an abundant number, since it is smaller than the sum of its proper divisors (25048278).

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

13842090 is a wasteful number, since it uses less digits than its factorization.

13842090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13842090 is about 3720.4959346840. The cubic root of 13842090 is about 240.1046418687.

The spelling of 13842090 in words is "thirteen million, eight hundred forty-two thousand, ninety".