18538560 has 168 divisors, whose sum is σ = 65736216. Its totient is φ = 4792320.

The previous prime is 18538549. The next prime is 18538577. The reversal of 18538560 is 6583581.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 18455616 = 288^2 + 4296^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118002 + ... + 118158.

It is an arithmetic number, because the mean of its divisors is an integer number (391287).

Almost surely, 2^18538560 is an apocalyptic number.

18538560 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 18538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32868108).

18538560 is an abundant number, since it is smaller than the sum of its proper divisors (47197656).

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

18538560 is a wasteful number, since it uses less digits than its factorization.

18538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 18538560 is about 4305.6428091517. The cubic root of 18538560 is about 264.6622491915.

The spelling of 18538560 in words is "eighteen million, five hundred thirty-eight thousand, five hundred sixty".