33420904 has 64 divisors (see below), whose sum is σ = 71668800. Its totient is φ = 14476800.

The previous prime is 33420889. The next prime is 33420913. The reversal of 33420904 is 40902433.

It is a super-2 number, since 2×33420904² = 2233913648354432, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 212794 + ... + 212950.

It is an arithmetic number, because the mean of its divisors is an integer number (1119825).

Almost surely, 2^33420904 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 33420904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834400).

33420904 is an abundant number, since it is smaller than the sum of its proper divisors (38247896).

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

33420904 is a wasteful number, since it uses less digits than its factorization.

33420904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 33420904 is about 5781.0815597084. The cubic root of 33420904 is about 322.1113769259. Note that the first 3 decimals are identical.

The spelling of 33420904 in words is "thirty-three million, four hundred twenty thousand, nine hundred four".