33406506 has 80 divisors (see below), whose sum is σ = 86771520. Its totient is φ = 9408960.

The previous prime is 33406501. The next prime is 33406517. The reversal of 33406506 is 60560433.

33406506 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 650 + 6 = 666.

It is a super-2 number, since 2×33406506² = 2231989286256072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 33406506.

It is not an unprimeable number, because it can be changed into a prime (33406501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100761 + ... + 101091.

It is an arithmetic number, because the mean of its divisors is an integer number (1084644).

Almost surely, 2^33406506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33406506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43385760).

33406506 is an abundant number, since it is smaller than the sum of its proper divisors (53365014).

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

33406506 is a wasteful number, since it uses less digits than its factorization.

33406506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 33406506 is about 5779.8361568474. The cubic root of 33406506 is about 322.0651142060.

Adding to 33406506 its reverse (60560433), we get a palindrome (93966939).

The spelling of 33406506 in words is "thirty-three million, four hundred six thousand, five hundred six".