33920064 has 42 divisors (see below), whose sum is σ = 97227390. Its totient is φ = 11306496.

The previous prime is 33920059. The next prime is 33920069. The reversal of 33920064 is 46002933.

It is an interprime number because it is at equal distance from previous prime (33920059) and next prime (33920069).

It can be written as a sum of positive squares in only one way, i.e., 24920064 + 9000000 = 4992^2 + 3000^2 .

It is not an unprimeable number, because it can be changed into a prime (33920069) 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 5 ways as a sum of consecutive naturals, for example, 28869 + ... + 30020.

Almost surely, 2^33920064 is an apocalyptic number.

It is an amenable number.

33920064 is an abundant number, since it is smaller than the sum of its proper divisors (63307326).

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

33920064 is a wasteful number, since it uses less digits than its factorization.

33920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58907 (or 58894 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 33920064 is about 5824.0934058444. The cubic root of 33920064 is about 323.7070969718.

Adding to 33920064 its reverse (46002933), we get a palindrome (79922997).

The spelling of 33920064 in words is "thirty-three million, nine hundred twenty thousand, sixty-four".