321642112 has 64 divisors (see below), whose sum is σ = 721670400. Its totient is φ = 141465600.

The previous prime is 321642077. The next prime is 321642131. The reversal of 321642112 is 211246123.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39964 + ... + 47332.

It is an arithmetic number, because the mean of its divisors is an integer number (11276100).

Almost surely, 2^321642112 is an apocalyptic number.

321642112 is a gapful number since it is divisible by the number (32) 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 321642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360835200).

321642112 is an abundant number, since it is smaller than the sum of its proper divisors (400028288).

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

321642112 is a wasteful number, since it uses less digits than its factorization.

321642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7425 (or 7413 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 321642112 is about 17934.3835132407. The cubic root of 321642112 is about 685.1583713951.

Adding to 321642112 its reverse (211246123), we get a palindrome (532888235).

The spelling of 321642112 in words is "three hundred twenty-one million, six hundred forty-two thousand, one hundred twelve".