33064616 has 48 divisors (see below), whose sum is σ = 69910260. Its totient is φ = 14572800.

The previous prime is 33064613. The next prime is 33064637. The reversal of 33064616 is 61646033.

It can be written as a sum of positive squares in 2 ways, for example, as 33062500 + 2116 = 5750^2 + 46^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33064613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54716 + ... + 55316.

Almost surely, 2^33064616 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 33064616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34955130).

33064616 is an abundant number, since it is smaller than the sum of its proper divisors (36845644).

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

33064616 is a wasteful number, since it uses less digits than its factorization.

33064616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 33064616 is about 5750.1839970561. The cubic root of 33064616 is about 320.9626480608.

It can be divided in two parts, 330 and 64616, that added together give a palindrome (64946).

The spelling of 33064616 in words is "thirty-three million, sixty-four thousand, six hundred sixteen".