33155120 has 80 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 12364800.

The previous prime is 33155119. The next prime is 33155131. The reversal of 33155120 is 2155133.

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

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 = 33155092 and 33155101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71690 + ... + 72150.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^33155120 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 33155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

33155120 is an abundant number, since it is smaller than the sum of its proper divisors (49339600).

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

33155120 is a wasteful number, since it uses less digits than its factorization.

33155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 33155120 is about 5758.0482804506. The cubic root of 33155120 is about 321.2552260855.

The spelling of 33155120 in words is "thirty-three million, one hundred fifty-five thousand, one hundred twenty".