18585540 has 72 divisors (see below), whose sum is σ = 57133440. Its totient is φ = 4889664.

The previous prime is 18585529. The next prime is 18585569. The reversal of 18585540 is 4558581.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18585495 and 18585504.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13567 + ... + 14873.

It is an arithmetic number, because the mean of its divisors is an integer number (793520).

Almost surely, 2^18585540 is an apocalyptic number.

18585540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18585540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28566720).

18585540 is an abundant number, since it is smaller than the sum of its proper divisors (38547900).

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

18585540 is a wasteful number, since it uses less digits than its factorization.

18585540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 18585540 is about 4311.0949885151. The cubic root of 18585540 is about 264.8856276353.

The spelling of 18585540 in words is "eighteen million, five hundred eighty-five thousand, five hundred forty".