33166120 has 32 divisors (see below), whose sum is σ = 80365320. Its totient is φ = 12245760.

The previous prime is 33166109. The next prime is 33166123. The reversal of 33166120 is 2166133.

It can be written as a sum of positive squares in 4 ways, for example, as 20958084 + 12208036 = 4578^2 + 3494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33166091 and 33166100.

It is not an unprimeable number, because it can be changed into a prime (33166123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31371 + ... + 32410.

Almost surely, 2^33166120 is an apocalyptic number.

It is an amenable number.

33166120 is an abundant number, since it is smaller than the sum of its proper divisors (47199200).

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

33166120 is a wasteful number, since it uses less digits than its factorization.

33166120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63805 (or 63801 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 33166120 is about 5759.0033860035. The cubic root of 33166120 is about 321.2907501790.

The spelling of 33166120 in words is "thirty-three million, one hundred sixty-six thousand, one hundred twenty".