33445120 has 144 divisors (see below), whose sum is σ = 89404560. Its totient is φ = 11927552.

The previous prime is 33445117. The next prime is 33445121. The reversal of 33445120 is 2154433.

It can be written as a sum of positive squares in 8 ways, for example, as 1364224 + 32080896 = 1168^2 + 5664^2 .

It is a super-2 number, since 2×33445120² = 2237152103628800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33445091 and 33445100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33445121) 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, 631014 + ... + 631066.

It is an arithmetic number, because the mean of its divisors is an integer number (620865).

Almost surely, 2^33445120 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 33445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44702280).

33445120 is an abundant number, since it is smaller than the sum of its proper divisors (55959440).

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

33445120 is a wasteful number, since it uses less digits than its factorization.

33445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 33445120 is about 5783.1755982332. The cubic root of 33445120 is about 322.1891562493.

Adding to 33445120 its reverse (2154433), we get a palindrome (35599553).

It can be divided in two parts, 3344 and 5120, that added together give a square (8464 = 92²).

The spelling of 33445120 in words is "thirty-three million, four hundred forty-five thousand, one hundred twenty".