32001144 has 64 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 9093504.

The previous prime is 32001139. The next prime is 32001161. The reversal of 32001144 is 44110023.

32001144 is a modest number, since divided by 1144 gives 32 as remainder.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39754 + ... + 40550.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^32001144 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 32001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

32001144 is an abundant number, since it is smaller than the sum of its proper divisors (59928456).

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

32001144 is a wasteful number, since it uses less digits than its factorization.

32001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 32001144 is about 5656.9553648584. The cubic root of 32001144 is about 317.4839936544.

Adding to 32001144 its reverse (44110023), we get a palindrome (76111167).

The spelling of 32001144 in words is "thirty-two million, one thousand, one hundred forty-four".