15936 has 28 divisors (see below), whose sum is σ = 42672. Its totient is φ = 5248.

The previous prime is 15923. The next prime is 15937. The reversal of 15936 is 63951.

15936 = 38² + 39² + ... + 46².

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

It is a nialpdrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (15937) 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, 151 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (1524).

2¹⁵⁹³⁶ is an apocalyptic number.

15936 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 15936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336).

15936 is an abundant number, since it is smaller than the sum of its proper divisors (26736).

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

15936 is an equidigital number, since it uses as much as digits as its factorization.

15936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 15936 is about 126.2378707045. The cubic root of 15936 is about 25.1647782062.

The spelling of 15936 in words is "fifteen thousand, nine hundred thirty-six".