1270958080 has 288 divisors, whose sum is σ = 3781323000. Its totient is φ = 407371776.

The previous prime is 1270958071. The next prime is 1270958111. The reversal of 1270958080 is 808590721.

It can be written as a sum of positive squares in 4 ways, for example, as 941753344 + 329204736 = 30688^2 + 18144^2 .

It is a super-2 number, since 2×1270958080² = 3230668882234572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8529846 + ... + 8529994.

Almost surely, 2^1270958080 is an apocalyptic number.

1270958080 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 1270958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890661500).

1270958080 is an abundant number, since it is smaller than the sum of its proper divisors (2510364920).

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

1270958080 is a wasteful number, since it uses less digits than its factorization.

1270958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 1270958080 is about 35650.4990147403. The cubic root of 1270958080 is about 1083.2043834419.

The spelling of 1270958080 in words is "one billion, two hundred seventy million, nine hundred fifty-eight thousand, eighty".