1320460128 has 216 divisors, whose sum is σ = 4189951584. Its totient is φ = 392117760.

The previous prime is 1320460109. The next prime is 1320460129. The reversal of 1320460128 is 8210640231.

1320460128 is a `hidden beast` number, since 1 + 32 + 0 + 4 + 601 + 28 = 666.

1320460128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1320460128² = 3487229899275552768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320460129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3597801 + ... + 3598167.

It is an arithmetic number, because the mean of its divisors is an integer number (19397924).

Almost surely, 2^1320460128 is an apocalyptic number.

1320460128 is a gapful number since it is divisible by the number (18) 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 1320460128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094975792).

1320460128 is an abundant number, since it is smaller than the sum of its proper divisors (2869491456).

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

1320460128 is a wasteful number, since it uses less digits than its factorization.

1320460128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1320460128 is about 36338.1360006261. The cubic root of 1320460128 is about 1097.0887559353.

The spelling of 1320460128 in words is "one billion, three hundred twenty million, four hundred sixty thousand, one hundred twenty-eight".