32766820 has 36 divisors (see below), whose sum is σ = 73108980. Its totient is φ = 12333568.

The previous prime is 32766809. The next prime is 32766827. The reversal of 32766820 is 2866723.

It can be written as a sum of positive squares in 6 ways, for example, as 254016 + 32512804 = 504^2 + 5702^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32766827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2946 + ... + 8614.

It is an arithmetic number, because the mean of its divisors is an integer number (2030805).

Almost surely, 2^32766820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32766820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36554490).

32766820 is an abundant number, since it is smaller than the sum of its proper divisors (40342160).

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

32766820 is a wasteful number, since it uses less digits than its factorization.

32766820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 32766820 is about 5724.2309527132. The cubic root of 32766820 is about 319.9961588081.

The spelling of 32766820 in words is "thirty-two million, seven hundred sixty-six thousand, eight hundred twenty".