33045664 has 48 divisors (see below), whose sum is σ = 69128640. Its totient is φ = 15516160.

The previous prime is 33045647. The next prime is 33045697. The reversal of 33045664 is 46654033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43044 + ... + 43804.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 2^33045664 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 33045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564320).

33045664 is an abundant number, since it is smaller than the sum of its proper divisors (36082976).

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

33045664 is a wasteful number, since it uses less digits than its factorization.

33045664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 33045664 is about 5748.5358135790. The cubic root of 33045664 is about 320.9013131414.

Adding to 33045664 its reverse (46654033), we get a palindrome (79699697).

The spelling of 33045664 in words is "thirty-three million, forty-five thousand, six hundred sixty-four".