33085780 has 120 divisors (see below), whose sum is σ = 88937352. Its totient is φ = 10273536.

The previous prime is 33085747. The next prime is 33085817. The reversal of 33085780 is 8758033.

It can be written as a sum of positive squares in 4 ways, for example, as 1882384 + 31203396 = 1372^2 + 5586^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 624234 + ... + 624286.

Almost surely, 2^33085780 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 33085780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44468676).

33085780 is an abundant number, since it is smaller than the sum of its proper divisors (55851572).

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

33085780 is a wasteful number, since it uses less digits than its factorization.

33085780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 33085780 is about 5752.0239916050. The cubic root of 33085780 is about 321.0311140475.

The spelling of 33085780 in words is "thirty-three million, eighty-five thousand, seven hundred eighty".