18536560 has 80 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 6259968.

The previous prime is 18536527. The next prime is 18536599. The reversal of 18536560 is 6563581.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44031 + ... + 44449.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^18536560 is an apocalyptic number.

18536560 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 18536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

18536560 is an abundant number, since it is smaller than the sum of its proper divisors (31460240).

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

18536560 is a wasteful number, since it uses less digits than its factorization.

18536560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 18536560 is about 4305.4105495295. The cubic root of 18536560 is about 264.6527313085.

The spelling of 18536560 in words is "eighteen million, five hundred thirty-six thousand, five hundred sixty".