33668856 has 72 divisors (see below), whose sum is σ = 98776080. Its totient is φ = 10355904.

The previous prime is 33668851. The next prime is 33668861. The reversal of 33668856 is 65886633.

33668856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (33668851) and next prime (33668861).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33668856² = 2267183728697472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33668851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10785 + ... + 13551.

It is an arithmetic number, because the mean of its divisors is an integer number (1371890).

Almost surely, 2^33668856 is an apocalyptic number.

33668856 is a gapful number since it is divisible by the number (36) 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 33668856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49388040).

33668856 is an abundant number, since it is smaller than the sum of its proper divisors (65107224).

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

33668856 is a wasteful number, since it uses less digits than its factorization.

33668856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2785 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 33668856 is about 5802.4870529800. The cubic root of 33668856 is about 322.9060038898.

The spelling of 33668856 in words is "thirty-three million, six hundred sixty-eight thousand, eight hundred fifty-six".