33320016 has 60 divisors (see below), whose sum is σ = 94592160. Its totient is φ = 10946880.

The previous prime is 33320011. The next prime is 33320033. The reversal of 33320016 is 61002333.

It is a happy number.

It is a super-2 number, since 2×33320016² = 2220446932480512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33320011) 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 11 ways as a sum of consecutive naturals, for example, 8595 + ... + 11853.

It is an arithmetic number, because the mean of its divisors is an integer number (1576536).

Almost surely, 2^33320016 is an apocalyptic number.

33320016 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 33320016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47296080).

33320016 is an abundant number, since it is smaller than the sum of its proper divisors (61272144).

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

33320016 is a wasteful number, since it uses less digits than its factorization.

33320016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 33320016 is about 5772.3492617824. The cubic root of 33320016 is about 321.7869300130.

Adding to 33320016 its reverse (61002333), we get a palindrome (94322349).

The spelling of 33320016 in words is "thirty-three million, three hundred twenty thousand, sixteen".