320797152 has 144 divisors (see below), whose sum is σ = 1013629680. Its totient is φ = 98706816.

The previous prime is 320797133. The next prime is 320797153. The reversal of 320797152 is 251797023.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

320797152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×320797152² = 205821625462622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320797153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24676698 + ... + 24676710.

It is an arithmetic number, because the mean of its divisors is an integer number (7039095).

Almost surely, 2^320797152 is an apocalyptic number.

320797152 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 320797152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506814840).

320797152 is an abundant number, since it is smaller than the sum of its proper divisors (692832528).

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

320797152 is an frugal number, since it uses more digits than its factorization.

320797152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 320797152 is about 17910.8110369129. The cubic root of 320797152 is about 684.5578705157.

It can be divided in two parts, 3207971 and 52, that added together give a palindrome (3208023).

The spelling of 320797152 in words is "three hundred twenty million, seven hundred ninety-seven thousand, one hundred fifty-two".