15688 has 16 divisors (see below), whose sum is σ = 30780. Its totient is φ = 7488.

The previous prime is 15683. The next prime is 15727. The reversal of 15688 is 88651.

It is a happy number.

15688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13924 + 1764 = 118^2 + 42^2 .

It is a super-2 number, since 2×15688² = 492226688, which contains 22 as substring.

It is an Ulam number.

Its product of digits (1920) is a multiple of the sum of its prime factors (96).

It is a plaindrome in base 10 and base 15.

It is not an unprimeable number, because it can be changed into a prime (15683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270 + ... + 322.

15688 is a Friedman number, since it can be written as 8*8+5^6-1, using all its digits and the basic arithmetic operations.

2¹⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

15688 is a deficient number, since it is larger than the sum of its proper divisors (15092).

15688 is a wasteful number, since it uses less digits than its factorization.

15688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 15688 is about 125.2517464948. The cubic root of 15688 is about 25.0335549425.

It can be divided in two parts, 1568 and 8, that multiplied together give a square (12544 = 112²).

The spelling of 15688 in words is "fifteen thousand, six hundred eighty-eight".