15488 has 24 divisors (see below), whose sum is σ = 33915. Its totient is φ = 7040.

The previous prime is 15473. The next prime is 15493. The reversal of 15488 is 88451.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 7744 = 88^2 + 88^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=88.

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

15488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1403 + ... + 1413.

2¹⁵⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15488

15488 is an abundant number, since it is smaller than the sum of its proper divisors (18427).

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

15488 is an equidigital number, since it uses as much as digits as its factorization.

15488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 13 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 15488 is about 124.4507934888. The cubic root of 15488 is about 24.9267187375.

It can be divided in two parts, 154 and 88, that added together give a palindrome (242).

The spelling of 15488 in words is "fifteen thousand, four hundred eighty-eight".