320141952 has 96 divisors (see below), whose sum is σ = 992152980. Its totient is φ = 98500608.

The previous prime is 320141947. The next prime is 320141953. The reversal of 320141952 is 259141023.

320141952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 257795136 + 62346816 = 16056^2 + 7896^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (320141953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4288 + ... + 25664.

Almost surely, 2^320141952 is an apocalyptic number.

320141952 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 320141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496076490).

320141952 is an abundant number, since it is smaller than the sum of its proper divisors (672011028).

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

320141952 is a wasteful number, since it uses less digits than its factorization.

320141952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21410 (or 21395 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 320141952 is about 17892.5110590996. The cubic root of 320141952 is about 684.0915030965.

Adding to 320141952 its reverse (259141023), we get a palindrome (579282975).

The spelling of 320141952 in words is "three hundred twenty million, one hundred forty-one thousand, nine hundred fifty-two".