33055920 has 120 divisors (see below), whose sum is σ = 114671232. Its totient is φ = 8524800.

The previous prime is 33055907. The next prime is 33055927. The reversal of 33055920 is 2955033.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (33055927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21580 + ... + 23060.

Almost surely, 2^33055920 is an apocalyptic number.

33055920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33055920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57335616).

33055920 is an abundant number, since it is smaller than the sum of its proper divisors (81615312).

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

33055920 is a wasteful number, since it uses less digits than its factorization.

33055920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 33055920 is about 5749.4277976160. The cubic root of 33055920 is about 320.9345078489.

The spelling of 33055920 in words is "thirty-three million, fifty-five thousand, nine hundred twenty".