33680940 has 48 divisors (see below), whose sum is σ = 94832640. Its totient is φ = 8931520.

The previous prime is 33680929. The next prime is 33680953. The reversal of 33680940 is 4908633.

It is a super-2 number, since 2×33680940² = 2268811438567200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9991 + ... + 12929.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 2^33680940 is an apocalyptic number.

33680940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33680940 is an abundant number, since it is smaller than the sum of its proper divisors (61151700).

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

33680940 is a wasteful number, since it uses less digits than its factorization.

33680940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 33680940 is about 5803.5282372019. The cubic root of 33680940 is about 322.9446303821.

The spelling of 33680940 in words is "thirty-three million, six hundred eighty thousand, nine hundred forty".