33680920 has 128 divisors (see below), whose sum is σ = 98380800. Its totient is φ = 10077696.

The previous prime is 33680903. The next prime is 33680921. The reversal of 33680920 is 2908633.

It is a happy number.

It is a super-2 number, since 2×33680920² = 2268808744092800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33680921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68917 + ... + 69403.

It is an arithmetic number, because the mean of its divisors is an integer number (768600).

Almost surely, 2^33680920 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 33680920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49190400).

33680920 is an abundant number, since it is smaller than the sum of its proper divisors (64699880).

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

33680920 is a wasteful number, since it uses less digits than its factorization.

33680920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 33680920 is about 5803.5265141119. The cubic root of 33680920 is about 322.9445664598.

The spelling of 33680920 in words is "thirty-three million, six hundred eighty thousand, nine hundred twenty".