32820 has 24 divisors (see below), whose sum is σ = 92064. Its totient is φ = 8736.

The previous prime is 32803. The next prime is 32831. The reversal of 32820 is 2823.

32820 = T₄₇ + T₄₈ + ... + T₆₆.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32820.

It is a congruent number.

It is an unprimeable number.

32820 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, 214 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (3836).

2³²⁸²⁰ is an apocalyptic number.

32820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32820 is an abundant number, since it is smaller than the sum of its proper divisors (59244).

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 (46032).

32820 is a wasteful number, since it uses less digits than its factorization.

32820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 32820 is about 181.1629101113. The cubic root of 32820 is about 32.0169181373.

The spelling of 32820 in words is "thirty-two thousand, eight hundred twenty".