33686980 has 36 divisors (see below), whose sum is σ = 73486980. Its totient is φ = 12956160.

The previous prime is 33686977. The next prime is 33686993. The reversal of 33686980 is 8968633.

It can be written as a sum of positive squares in 6 ways, for example, as 1401856 + 32285124 = 1184^2 + 5682^2 .

It is a super-2 number, since 2×33686980² = 2269625243040800, 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139660 + ... + 139900.

It is an arithmetic number, because the mean of its divisors is an integer number (2041305).

Almost surely, 2^33686980 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 33686980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36743490).

33686980 is an abundant number, since it is smaller than the sum of its proper divisors (39800000).

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

33686980 is a wasteful number, since it uses less digits than its factorization.

33686980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 33686980 is about 5804.0485869779. The cubic root of 33686980 is about 322.9639337723.

The spelling of 33686980 in words is "thirty-three million, six hundred eighty-six thousand, nine hundred eighty".