33322160 has 80 divisors (see below), whose sum is σ = 81959040. Its totient is φ = 12579840.

The previous prime is 33322153. The next prime is 33322169. The reversal of 33322160 is 6122333.

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

It is a super-2 number, since 2×33322160² = 2220732694131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (33322169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122825 + ... + 123095.

It is an arithmetic number, because the mean of its divisors is an integer number (1024488).

Almost surely, 2^33322160 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 33322160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520).

33322160 is an abundant number, since it is smaller than the sum of its proper divisors (48636880).

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

33322160 is a wasteful number, since it uses less digits than its factorization.

33322160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 33322160 is about 5772.5349717434. The cubic root of 33322160 is about 321.7938317342.

Adding to 33322160 its reverse (6122333), we get a palindrome (39444493).

The spelling of 33322160 in words is "thirty-three million, three hundred twenty-two thousand, one hundred sixty".