33282640 has 40 divisors (see below), whose sum is σ = 78198120. Its totient is φ = 13172736.

The previous prime is 33282619. The next prime is 33282649. The reversal of 33282640 is 4628233.

It can be written as a sum of positive squares in 4 ways, for example, as 9585216 + 23697424 = 3096^2 + 4868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33282640² = 2215468250739200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33282599 and 33282608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33282649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5616 + ... + 9904.

It is an arithmetic number, because the mean of its divisors is an integer number (1954953).

Almost surely, 2^33282640 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 33282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39099060).

33282640 is an abundant number, since it is smaller than the sum of its proper divisors (44915480).

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

33282640 is a wasteful number, since it uses less digits than its factorization.

33282640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 33282640 is about 5769.1108500357. The cubic root of 33282640 is about 321.6665658436. Note that the first 3 decimals are identical.

The spelling of 33282640 in words is "thirty-three million, two hundred eighty-two thousand, six hundred forty".