33680768 has 64 divisors (see below), whose sum is σ = 77112000. Its totient is φ = 14492160.

The previous prime is 33680761. The next prime is 33680771. The reversal of 33680768 is 86708633.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33680768² = 2268788266139648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33680761) 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, 26123 + ... + 27381.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^33680768 is an apocalyptic number.

33680768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556000).

33680768 is an abundant number, since it is smaller than the sum of its proper divisors (43431232).

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

33680768 is a wasteful number, since it uses less digits than its factorization.

33680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 33680768 is about 5803.5134186112. The cubic root of 33680768 is about 322.9440806492.

The spelling of 33680768 in words is "thirty-three million, six hundred eighty thousand, seven hundred sixty-eight".