33065340 has 192 divisors, whose sum is σ = 122508288. Its totient is φ = 6451200.

The previous prime is 33065303. The next prime is 33065341. The reversal of 33065340 is 4356033.

It is a self number, because there is not a number n which added to its sum of digits gives 33065340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33065341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78330 + ... + 78750.

It is an arithmetic number, because the mean of its divisors is an integer number (638064).

Almost surely, 2^33065340 is an apocalyptic number.

33065340 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 33065340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61254144).

33065340 is an abundant number, since it is smaller than the sum of its proper divisors (89442948).

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

33065340 is a wasteful number, since it uses less digits than its factorization.

33065340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 33065340 is about 5750.2469512187. The cubic root of 33065340 is about 320.9649906987.

It can be divided in two parts, 3306 and 5340, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 33065340 in words is "thirty-three million, sixty-five thousand, three hundred forty".