33163968 has 56 divisors (see below), whose sum is σ = 92374720. Its totient is φ = 10471680.

The previous prime is 33163961. The next prime is 33163993. The reversal of 33163968 is 86936133.

It is not an unprimeable number, because it can be changed into a prime (33163961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 898 + ... + 8193.

Almost surely, 2^33163968 is an apocalyptic number.

33163968 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 33163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46187360).

33163968 is an abundant number, since it is smaller than the sum of its proper divisors (59210752).

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

33163968 is a wasteful number, since it uses less digits than its factorization.

33163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9115 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 33163968 is about 5758.8165450898. The cubic root of 33163968 is about 321.2838009926.

The spelling of 33163968 in words is "thirty-three million, one hundred sixty-three thousand, nine hundred sixty-eight".