32496 has 20 divisors (see below), whose sum is σ = 84072. Its totient is φ = 10816.

The previous prime is 32491. The next prime is 32497. The reversal of 32496 is 69423.

32496 = 15² + 16² + ... + 46².

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

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32491) by changing a digit.

32496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291 + ... + 386.

2³²⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

32496 is an abundant number, since it is smaller than the sum of its proper divisors (51576).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42036).

32496 is a wasteful number, since it uses less digits than its factorization.

32496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 32496 is about 180.2664694279. The cubic root of 32496 is about 31.9112122089.

It can be divided in two parts, 32 and 496, that added together give a triangular number (528 = T₃₂).

The spelling of 32496 in words is "thirty-two thousand, four hundred ninety-six".