33690906 has 48 divisors (see below), whose sum is σ = 80668224. Its totient is φ = 10108032.

The previous prime is 33690871. The next prime is 33690911. The reversal of 33690906 is 60909633.

It is a super-2 number, since 2×33690906² = 2270154294201672, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4645 + ... + 9431.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 2^33690906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33690906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334112).

33690906 is an abundant number, since it is smaller than the sum of its proper divisors (46977318).

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

33690906 is a wasteful number, since it uses less digits than its factorization.

33690906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 33690906 is about 5804.3867893172. The cubic root of 33690906 is about 322.9764797386.

It can be divided in two parts, 33690 and 906, that added together give a square (34596 = 186²).

The spelling of 33690906 in words is "thirty-three million, six hundred ninety thousand, nine hundred six".