16488 has 24 divisors (see below), whose sum is σ = 44850. Its totient is φ = 5472.

The previous prime is 16487. The next prime is 16493. The reversal of 16488 is 88461.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 6084 = 102^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (16481) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43 + ... + 186.

2¹⁶⁴⁸⁸ is an apocalyptic number.

16488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16488 is an abundant number, since it is smaller than the sum of its proper divisors (28362).

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

16488 is a wasteful number, since it uses less digits than its factorization.

16488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 16488 is about 128.4056073542. The cubic root of 16488 is about 25.4520436626.

Subtracting from 16488 its sum of digits (27), we obtain a palindrome (16461).

It can be divided in two parts, 164 and 88, that added together give a palindrome (252).

The spelling of 16488 in words is "sixteen thousand, four hundred eighty-eight".