32768020 has 48 divisors (see below), whose sum is σ = 71442000. Its totient is φ = 12615680.

The previous prime is 32768011. The next prime is 32768033. The reversal of 32768020 is 2086723.

It can be written as a sum of positive squares in 8 ways, for example, as 6533136 + 26234884 = 2556^2 + 5122^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32768020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72756 + ... + 73204.

It is an arithmetic number, because the mean of its divisors is an integer number (1488375).

Almost surely, 2^32768020 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 32768020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35721000).

32768020 is an abundant number, since it is smaller than the sum of its proper divisors (38673980).

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

32768020 is a wasteful number, since it uses less digits than its factorization.

32768020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 32768020 is about 5724.3357693273. The cubic root of 32768020 is about 320.0000651042. Note that the first 4 decimals are identical.

It can be divided in two parts, 327680 and 20, that multiplied together give a square (6553600 = 2560²).

The spelling of 32768020 in words is "thirty-two million, seven hundred sixty-eight thousand, twenty".