1260385128 has 48 divisors (see below), whose sum is σ = 3417055200. Its totient is φ = 419696160.

The previous prime is 1260385127. The next prime is 1260385177. The reversal of 1260385128 is 8215830621.

It is a happy number.

1260385128 is a `hidden beast` number, since 1 + 260 + 385 + 12 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1260385092 and 1260385101.

It is not an unprimeable number, because it can be changed into a prime (1260385127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65743 + ... + 82721.

It is an arithmetic number, because the mean of its divisors is an integer number (71188650).

Almost surely, 2^1260385128 is an apocalyptic number.

1260385128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1260385128 is an abundant number, since it is smaller than the sum of its proper divisors (2156670072).

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

1260385128 is a wasteful number, since it uses less digits than its factorization.

1260385128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18022 (or 18015 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1260385128 is about 35501.9031602533. The cubic root of 1260385128 is about 1080.1923320016.

The spelling of 1260385128 in words is "one billion, two hundred sixty million, three hundred eighty-five thousand, one hundred twenty-eight".