33214080 has 64 divisors (see below), whose sum is σ = 105876000. Its totient is φ = 8856576.

The previous prime is 33214079. The next prime is 33214087. The reversal of 33214080 is 8041233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33214080² = 2206350220492800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33214087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6730 + ... + 10569.

Almost surely, 2^33214080 is an apocalyptic number.

33214080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33214080 is an abundant number, since it is smaller than the sum of its proper divisors (72661920).

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

33214080 is a wasteful number, since it uses less digits than its factorization.

33214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17321 (or 17309 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 33214080 is about 5763.1657966781. The cubic root of 33214080 is about 321.4455435130.

The spelling of 33214080 in words is "thirty-three million, two hundred fourteen thousand, eighty".