1260257128 has 64 divisors (see below), whose sum is σ = 2594592000. Its totient is φ = 570385152.

The previous prime is 1260257113. The next prime is 1260257129. The reversal of 1260257128 is 8217520621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1260257093 and 1260257102.

It is not an unprimeable number, because it can be changed into a prime (1260257129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1212433 + ... + 1213471.

It is an arithmetic number, because the mean of its divisors is an integer number (40540500).

Almost surely, 2^1260257128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1260257128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297296000).

1260257128 is an abundant number, since it is smaller than the sum of its proper divisors (1334334872).

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

1260257128 is a wasteful number, since it uses less digits than its factorization.

1260257128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1260257128 is about 35500.1003942242. The cubic root of 1260257128 is about 1080.1557639992.

Adding to 1260257128 its reverse (8217520621), we get a palindrome (9477777749).

The spelling of 1260257128 in words is "one billion, two hundred sixty million, two hundred fifty-seven thousand, one hundred twenty-eight".