33319968 has 96 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 9980160.

The previous prime is 33319931. The next prime is 33320011. The reversal of 33319968 is 86991333.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33319968² = 2220440535042048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146671 + ... + 146897.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^33319968 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 33319968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

33319968 is an abundant number, since it is smaller than the sum of its proper divisors (63206112).

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

33319968 is a wasteful number, since it uses less digits than its factorization.

33319968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 33319968 is about 5772.3451040283. The cubic root of 33319968 is about 321.7867754935.

It can be divided in two parts, 333 and 19968, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 33319968 in words is "thirty-three million, three hundred nineteen thousand, nine hundred sixty-eight".