1271606800 has 120 divisors (see below), whose sum is σ = 3314365992. Its totient is φ = 466944000.

The previous prime is 1271606797. The next prime is 1271606803. The reversal of 1271606800 is 86061721.

It is an interprime number because it is at equal distance from previous prime (1271606797) and next prime (1271606803).

It can be written as a sum of positive squares in 12 ways, for example, as 594774544 + 676832256 = 24388^2 + 26016^2 .

It is not an unprimeable number, because it can be changed into a prime (1271606803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276520 + ... + 281080.

Almost surely, 2^1271606800 is an apocalyptic number.

1271606800 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 1271606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657182996).

1271606800 is an abundant number, since it is smaller than the sum of its proper divisors (2042759192).

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

1271606800 is a wasteful number, since it uses less digits than its factorization.

1271606800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 1271606800 is about 35659.5961839166. The cubic root of 1271606800 is about 1083.3886478002.

The spelling of 1271606800 in words is "one billion, two hundred seventy-one million, six hundred six thousand, eight hundred".