32001920 has 64 divisors (see below), whose sum is σ = 79021440. Its totient is φ = 12380160.

The previous prime is 32001919. The next prime is 32001943. The reversal of 32001920 is 2910023.

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

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 7 ways as a sum of consecutive naturals, for example, 19034 + ... + 20646.

It is an arithmetic number, because the mean of its divisors is an integer number (1234710).

Almost surely, 2^32001920 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 32001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39510720).

32001920 is an abundant number, since it is smaller than the sum of its proper divisors (47019520).

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

32001920 is a wasteful number, since it uses less digits than its factorization.

32001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 32001920 is about 5657.0239525744. The cubic root of 32001920 is about 317.4865598709.

Adding to 32001920 its reverse (2910023), we get a palindrome (34911943).

The spelling of 32001920 in words is "thirty-two million, one thousand, nine hundred twenty".