33290816 has 28 divisors (see below), whose sum is σ = 71144892. Its totient is φ = 15364608.

The previous prime is 33290813. The next prime is 33290839. The reversal of 33290816 is 61809233.

It can be written as a sum of positive squares in 2 ways, for example, as 9241600 + 24049216 = 3040^2 + 4904^2 .

It is a super-2 number, since 2×33290816² = 2216556859891712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (33290813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19175 + ... + 20838.

It is an arithmetic number, because the mean of its divisors is an integer number (2540889).

Almost surely, 2^33290816 is an apocalyptic number.

It is an amenable number.

33290816 is an abundant number, since it is smaller than the sum of its proper divisors (37854076).

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

33290816 is a wasteful number, since it uses less digits than its factorization.

33290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40038 (or 40028 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 33290816 is about 5769.8194079191. The cubic root of 33290816 is about 321.6929032027.

The spelling of 33290816 in words is "thirty-three million, two hundred ninety thousand, eight hundred sixteen".