18576 has 40 divisors (see below), whose sum is σ = 54560. Its totient is φ = 6048.

The previous prime is 18553. The next prime is 18583. The reversal of 18576 is 67581.

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

Its product of digits (1680) is a multiple of the sum of its prime divisors (48).

It is a plaindrome in base 14.

It is a nialpdrome in base 3, base 6, base 8 and base 12.

It is a zygodrome in base 3 and base 6.

It is an unprimeable number.

18576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (1364).

2¹⁸⁵⁷⁶ is an apocalyptic number.

18576 is a gapful number since it is divisible by the number (16) 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 18576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27280).

18576 is an abundant number, since it is smaller than the sum of its proper divisors (35984).

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

18576 is a wasteful number, since it uses less digits than its factorization.

18576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 48 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 18576 is about 136.2938002992. The cubic root of 18576 is about 26.4840297747.

The spelling of 18576 in words is "eighteen thousand, five hundred seventy-six".