33023120 has 80 divisors (see below), whose sum is σ = 83713392. Its totient is φ = 12042240.

The previous prime is 33023119. The next prime is 33023171. The reversal of 33023120 is 2132033.

It can be written as a sum of positive squares in 8 ways, for example, as 7661824 + 25361296 = 2768^2 + 5036^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 33023095 and 33023104.

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, 117380 + ... + 117660.

Almost surely, 2^33023120 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 33023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41856696).

33023120 is an abundant number, since it is smaller than the sum of its proper divisors (50690272).

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

33023120 is a wasteful number, since it uses less digits than its factorization.

33023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 33023120 is about 5746.5746319003. The cubic root of 33023120 is about 320.8283227793.

Adding to 33023120 its reverse (2132033), we get a palindrome (35155153).

The spelling of 33023120 in words is "thirty-three million, twenty-three thousand, one hundred twenty".