320147520 has 448 divisors, whose sum is σ = 1306202112. Its totient is φ = 64512000.

The previous prime is 320147483. The next prime is 320147521. The reversal of 320147520 is 25741023.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (320147521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4509085 + ... + 4509155.

Almost surely, 2^320147520 is an apocalyptic number.

320147520 is a gapful number since it is divisible by the number (30) 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 320147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653101056).

320147520 is an abundant number, since it is smaller than the sum of its proper divisors (986054592).

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

320147520 is a wasteful number, since it uses less digits than its factorization.

320147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 320147520 is about 17892.6666542469. Note that the first 4 decimals coincide. The cubic root of 320147520 is about 684.0954690450.

Adding to 320147520 its reverse (25741023), we get a palindrome (345888543).

It can be divided in two parts, 3201 and 47520, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 320147520 in words is "three hundred twenty million, one hundred forty-seven thousand, five hundred twenty".