33022080 has 480 divisors, whose sum is σ = 147733740. Its totient is φ = 6967296.

The previous prime is 33022049. The next prime is 33022081. The reversal of 33022080 is 8022033.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 2286144 = 5544^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33022081) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2540154 + ... + 2540166.

Almost surely, 2^33022080 is an apocalyptic number.

33022080 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 33022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73866870).

33022080 is an abundant number, since it is smaller than the sum of its proper divisors (114711660).

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

33022080 is a wasteful number, since it uses less digits than its factorization.

33022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33022080 is about 5746.4841424997. The cubic root of 33022080 is about 320.8249547858.

The spelling of 33022080 in words is "thirty-three million, twenty-two thousand, eighty".