32520 has 32 divisors (see below), whose sum is σ = 97920. Its totient is φ = 8640.

The previous prime is 32507. The next prime is 32531. The reversal of 32520 is 2523.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 14.

It is a nialpdrome in base 8 and base 15.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 32496 and 32505.

It is an unprimeable number.

32520 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 7 ways as a sum of consecutive naturals, for example, 16 + ... + 255.

It is an arithmetic number, because the mean of its divisors is an integer number (3060).

2³²⁵²⁰ is an apocalyptic number.

32520 is a gapful number since it is divisible by the number (30) 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 32520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960).

32520 is an abundant number, since it is smaller than the sum of its proper divisors (65400).

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

32520 is a wasteful number, since it uses less digits than its factorization.

32520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 32520 is about 180.3330252616. Note that the first 3 decimals coincide. The cubic root of 32520 is about 31.9190663102.

The spelling of 32520 in words is "thirty-two thousand, five hundred twenty".