33066020 has 48 divisors (see below), whose sum is σ = 79189488. Its totient is φ = 11489280.

The previous prime is 33066013. The next prime is 33066031. The reversal of 33066020 is 2066033.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 256036 + 32809984 = 506^2 + 5728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33065983 and 33066001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680 + ... + 8160.

It is an arithmetic number, because the mean of its divisors is an integer number (1649781).

Almost surely, 2^33066020 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 33066020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39594744).

33066020 is an abundant number, since it is smaller than the sum of its proper divisors (46123468).

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

33066020 is a wasteful number, since it uses less digits than its factorization.

33066020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 33066020 is about 5750.3060788101. The cubic root of 33066020 is about 320.9671909351.

The spelling of 33066020 in words is "thirty-three million, sixty-six thousand, twenty".