33408006 has 32 divisors (see below), whose sum is σ = 70087680. Its totient is φ = 10595904.

The previous prime is 33407999. The next prime is 33408017. The reversal of 33408006 is 60080433.

It is a super-2 number, since 2×33408006² = 2232189729792072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31635 + ... + 32673.

It is an arithmetic number, because the mean of its divisors is an integer number (2190240).

Almost surely, 2^33408006 is an apocalyptic number.

33408006 is an abundant number, since it is smaller than the sum of its proper divisors (36679674).

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

33408006 is a wasteful number, since it uses less digits than its factorization.

33408006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 33408006 is about 5779.9659168545. The cubic root of 33408006 is about 322.0699345290.

Adding to 33408006 its reverse (60080433), we get a palindrome (93488439).

The spelling of 33408006 in words is "thirty-three million, four hundred eight thousand, six".