1301620320 has 1152 divisors, whose sum is σ = 6370721280. Its totient is φ = 243855360.

The previous prime is 1301620319. The next prime is 1301620321. The reversal of 1301620320 is 230261031.

1301620320 is a `hidden beast` number, since 13 + 0 + 1 + 620 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1301620319) and next prime (1301620321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1301620293 and 1301620302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301620321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30270219 + ... + 30270261.

It is an arithmetic number, because the mean of its divisors is an integer number (5530140).

Almost surely, 2^1301620320 is an apocalyptic number.

1301620320 is a gapful number since it is divisible by the number (10) 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 1301620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185360640).

1301620320 is an abundant number, since it is smaller than the sum of its proper divisors (5069100960).

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

1301620320 is a wasteful number, since it uses less digits than its factorization.

1301620320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1301620320 is about 36077.9755529603. The cubic root of 1301620320 is about 1091.8461321665.

Adding to 1301620320 its reverse (230261031), we get a palindrome (1531881351).

The spelling of 1301620320 in words is "one billion, three hundred one million, six hundred twenty thousand, three hundred twenty".