33473664 has 144 divisors (see below), whose sum is σ = 112239270. Its totient is φ = 9547776.

The previous prime is 33473653. The next prime is 33473677. The reversal of 33473664 is 46637433.

It can be written as a sum of positive squares in only one way, i.e., 27123264 + 6350400 = 5208^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×33473664³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56152 + ... + 56744.

Almost surely, 2^33473664 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 33473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56119635).

33473664 is an abundant number, since it is smaller than the sum of its proper divisors (78765606).

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

33473664 is a wasteful number, since it uses less digits than its factorization.

33473664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 605 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 33473664 is about 5785.6429201948. The cubic root of 33473664 is about 322.2807884737.

The spelling of 33473664 in words is "thirty-three million, four hundred seventy-three thousand, six hundred sixty-four".