13584090 has 64 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 3283200.

The previous prime is 13584089. The next prime is 13584113. The reversal of 13584090 is 9048531.

It is a super-2 number, since 2×13584090² = 369055002256200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23505 + ... + 24075.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 2^13584090 is an apocalyptic number.

13584090 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 13584090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

13584090 is an abundant number, since it is smaller than the sum of its proper divisors (22163622).

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

13584090 is a wasteful number, since it uses less digits than its factorization.

13584090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13584090 is about 3685.6600494348. The cubic root of 13584090 is about 238.6035220771.

The spelling of 13584090 in words is "thirteen million, five hundred eighty-four thousand, ninety".