320736 has 48 divisors (see below), whose sum is σ = 910224. Its totient is φ = 98304.

The previous prime is 320713. The next prime is 320741. The reversal of 320736 is 637023.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

320736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1120 + ... + 1376.

It is an arithmetic number, because the mean of its divisors is an integer number (18963).

2³²⁰⁷³⁶ 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 320736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455112).

320736 is an abundant number, since it is smaller than the sum of its proper divisors (589488).

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

320736 is a wasteful number, since it uses less digits than its factorization.

320736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 320736 is about 566.3355895580. The cubic root of 320736 is about 68.4514369773.

Adding to 320736 its reverse (637023), we get a palindrome (957759).

The spelling of 320736 in words is "three hundred twenty thousand, seven hundred thirty-six".