33076224 has 132 divisors (see below), whose sum is σ = 99099364. Its totient is φ = 10616832.

The previous prime is 33076223. The next prime is 33076243. The reversal of 33076224 is 42267033.

33076224 is a `hidden beast` number, since 3 + 30 + 7 + 622 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23040000 + 10036224 = 4800^2 + 3168^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33076223) 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, 340944 + ... + 341040.

Almost surely, 2^33076224 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 33076224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49549682).

33076224 is an abundant number, since it is smaller than the sum of its proper divisors (66023140).

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

33076224 is a wasteful number, since it uses less digits than its factorization.

33076224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 33076224 is about 5751.1932674881. The cubic root of 33076224 is about 321.0002038022. Note that the first 3 decimals are identical.

The spelling of 33076224 in words is "thirty-three million, seventy-six thousand, two hundred twenty-four".