15648 has 24 divisors (see below), whose sum is σ = 41328. Its totient is φ = 5184.

The previous prime is 15647. The next prime is 15649. The reversal of 15648 is 84651.

It is an interprime number because it is at equal distance from previous prime (15647) and next prime (15649).

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

It is a super-3 number, since 3×15648³ = 11494703333376, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (15641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15 + ... + 177.

It is an arithmetic number, because the mean of its divisors is an integer number (1722).

2¹⁵⁶⁴⁸ 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 15648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20664).

15648 is an abundant number, since it is smaller than the sum of its proper divisors (25680).

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

15648 is a wasteful number, since it uses less digits than its factorization.

15648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 15648 is about 125.0919661689. The cubic root of 15648 is about 25.0122606527.

The spelling of 15648 in words is "fifteen thousand, six hundred forty-eight".