320849152 has 72 divisors (see below), whose sum is σ = 694367240. Its totient is φ = 147087360.

The previous prime is 320849141. The next prime is 320849153. The reversal of 320849152 is 251948023.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 317694976 = 1776^2 + 17824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320849153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761902 + ... + 762322.

Almost surely, 2^320849152 is an apocalyptic number.

320849152 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 320849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347183620).

320849152 is an abundant number, since it is smaller than the sum of its proper divisors (373518088).

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

320849152 is a wasteful number, since it uses less digits than its factorization.

320849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 320849152 is about 17912.2626153147. The cubic root of 320849152 is about 684.5948565943.

The spelling of 320849152 in words is "three hundred twenty million, eight hundred forty-nine thousand, one hundred fifty-two".