13086090 has 64 divisors (see below), whose sum is σ = 36961920. Its totient is φ = 3283200.

The previous prime is 13086083. The next prime is 13086109. The reversal of 13086090 is 9068031.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3165 + ... + 6015.

It is an arithmetic number, because the mean of its divisors is an integer number (577530).

Almost surely, 2^13086090 is an apocalyptic number.

13086090 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 13086090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480960).

13086090 is an abundant number, since it is smaller than the sum of its proper divisors (23875830).

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

13086090 is a wasteful number, since it uses less digits than its factorization.

13086090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13086090 is about 3617.4701104501. The cubic root of 13086090 is about 235.6513692764.

The spelling of 13086090 in words is "thirteen million, eighty-six thousand, ninety".