33042816 has 80 divisors (see below), whose sum is σ = 98365740. Its totient is φ = 11010816.

The previous prime is 33042799. The next prime is 33042829. The reversal of 33042816 is 61824033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 33042816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8775 + ... + 11961.

Almost surely, 2^33042816 is an apocalyptic number.

33042816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49182870).

33042816 is an abundant number, since it is smaller than the sum of its proper divisors (65322924).

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

33042816 is an equidigital number, since it uses as much as digits as its factorization.

33042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33042816 is about 5748.2880929891. The cubic root of 33042816 is about 320.8920940479.

Adding to 33042816 its reverse (61824033), we get a palindrome (94866849).

The spelling of 33042816 in words is "thirty-three million, forty-two thousand, eight hundred sixteen".