32022144 has 288 divisors, whose sum is σ = 121249440. Its totient is φ = 7879680.

The previous prime is 32022139. The next prime is 32022157. The reversal of 32022144 is 44122023.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1685367 + ... + 1685385.

It is an arithmetic number, because the mean of its divisors is an integer number (421005).

Almost surely, 2^32022144 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 32022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60624720).

32022144 is an abundant number, since it is smaller than the sum of its proper divisors (89227296).

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

32022144 is a wasteful number, since it uses less digits than its factorization.

32022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 32022144 is about 5658.8111825718. The cubic root of 32022144 is about 317.5534256098.

Adding to 32022144 its reverse (44122023), we get a palindrome (76144167).

The spelling of 32022144 in words is "thirty-two million, twenty-two thousand, one hundred forty-four".