321016032 has 144 divisors (see below), whose sum is σ = 974741040. Its totient is φ = 99864576.

The previous prime is 321016013. The next prime is 321016061. The reversal of 321016032 is 230610123.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 321015996 and 321016014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 846819 + ... + 847197.

It is an arithmetic number, because the mean of its divisors is an integer number (6769035).

Almost surely, 2^321016032 is an apocalyptic number.

321016032 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 321016032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487370520).

321016032 is an abundant number, since it is smaller than the sum of its proper divisors (653725008).

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

321016032 is a wasteful number, since it uses less digits than its factorization.

321016032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 321016032 is about 17916.9202710734. The cubic root of 321016032 is about 684.7135264714.

Adding to 321016032 its reverse (230610123), we get a palindrome (551626155).

It can be divided in two parts, 32 and 1016032, that added together give a square (1016064 = 1008²).

The spelling of 321016032 in words is "three hundred twenty-one million, sixteen thousand, thirty-two".