33422160 has 80 divisors (see below), whose sum is σ = 104386176. Its totient is φ = 8845824.

The previous prime is 33422149. The next prime is 33422167. The reversal of 33422160 is 6122433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×33422160³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33422167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37237 + ... + 38123.

Almost surely, 2^33422160 is an apocalyptic number.

33422160 is a gapful number since it is divisible by the number (30) 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 33422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52193088).

33422160 is an abundant number, since it is smaller than the sum of its proper divisors (70964016).

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

33422160 is a wasteful number, since it uses less digits than its factorization.

33422160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33422160 is about 5781.1901888798. The cubic root of 33422160 is about 322.1154119935.

Adding to 33422160 its reverse (6122433), we get a palindrome (39544593).

The spelling of 33422160 in words is "thirty-three million, four hundred twenty-two thousand, one hundred sixty".