1331608320 has 432 divisors, whose sum is σ = 5388801600. Its totient is φ = 303464448.

The previous prime is 1331608309. The next prime is 1331608339. The reversal of 1331608320 is 238061331.

It is a happy number.

1331608320 is a `hidden beast` number, since 1 + 3 + 31 + 608 + 3 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3951192 + ... + 3951528.

Almost surely, 2^1331608320 is an apocalyptic number.

1331608320 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 1331608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694400800).

1331608320 is an abundant number, since it is smaller than the sum of its proper divisors (4057193280).

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

1331608320 is an equidigital number, since it uses as much as digits as its factorization.

1331608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1331608320 is about 36491.2088043134. The cubic root of 1331608320 is about 1100.1675557433.

Adding to 1331608320 its reverse (238061331), we get a palindrome (1569669651).

The spelling of 1331608320 in words is "one billion, three hundred thirty-one million, six hundred eight thousand, three hundred twenty".