33332020 has 48 divisors (see below), whose sum is σ = 73256400. Its totient is φ = 12723200.

The previous prime is 33332011. The next prime is 33332021. The reversal of 33332020 is 2023333.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 85264 + 33246756 = 292^2 + 5766^2 .

It is a super-2 number, since 2×33332020² = 2222047114560800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33331985 and 33332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33332021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58296 + ... + 58864.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^33332020 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 33332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36628200).

33332020 is an abundant number, since it is smaller than the sum of its proper divisors (39924380).

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

33332020 is a wasteful number, since it uses less digits than its factorization.

33332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 33332020 is about 5773.3889527729. The cubic root of 33332020 is about 321.8255681151.

Adding to 33332020 its reverse (2023333), we get a palindrome (35355353).

The spelling of 33332020 in words is "thirty-three million, three hundred thirty-two thousand, twenty".