33768904 has 24 divisors (see below), whose sum is σ = 68564610. Its totient is φ = 15585024.

The previous prime is 33768893. The next prime is 33768967. The reversal of 33768904 is 40986733.

It can be written as a sum of positive squares in 3 ways, for example, as 6708100 + 27060804 = 2590^2 + 5202^2 .

It is a super-2 number, since 2×33768904² = 2280677754722432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11137 + ... + 13840.

Almost surely, 2^33768904 is an apocalyptic number.

It is an amenable number.

33768904 is an abundant number, since it is smaller than the sum of its proper divisors (34795706).

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

33768904 is a wasteful number, since it uses less digits than its factorization.

33768904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25009 (or 24992 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 33768904 is about 5811.1017888177. The cubic root of 33768904 is about 323.2255291813.

The spelling of 33768904 in words is "thirty-three million, seven hundred sixty-eight thousand, nine hundred four".