33916064 has 96 divisors (see below), whose sum is σ = 86647680. Its totient is φ = 12690432.

The previous prime is 33916063. The next prime is 33916067. The reversal of 33916064 is 46061933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 33916064.

It is not an unprimeable number, because it can be changed into a prime (33916063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55022 + ... + 55634.

It is an arithmetic number, because the mean of its divisors is an integer number (902580).

Almost surely, 2^33916064 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 33916064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43323840).

33916064 is an abundant number, since it is smaller than the sum of its proper divisors (52731616).

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

33916064 is a wasteful number, since it uses less digits than its factorization.

33916064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 33916064 is about 5823.7499946340. The cubic root of 33916064 is about 323.6943721600.

Adding to 33916064 its reverse (46061933), we get a palindrome (79977997).

The spelling of 33916064 in words is "thirty-three million, nine hundred sixteen thousand, sixty-four".