33366016 has 28 divisors (see below), whose sum is σ = 66744342. Its totient is φ = 16678912.

The previous prime is 33366001. The next prime is 33366041. The reversal of 33366016 is 61066333.

It can be written as a sum of positive squares in only one way, i.e., 32444416 + 921600 = 5696^2 + 960^2 .

It is a super-2 number, since 2×33366016² = 2226582047424512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156 + ... + 10228.

Almost surely, 2^33366016 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 33366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33372171).

33366016 is an abundant number, since it is smaller than the sum of its proper divisors (33378326).

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

33366016 is an frugal number, since it uses more digits than its factorization.

33366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 33366016 is about 5776.3324004077. The cubic root of 33366016 is about 321.9349430699.

The spelling of 33366016 in words is "thirty-three million, three hundred sixty-six thousand, sixteen".