1271936 has 32 divisors (see below), whose sum is σ = 2672400. Its totient is φ = 601344.

The previous prime is 1271929. The next prime is 1271939. The reversal of 1271936 is 6391721.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1271899 and 1271908.

It is not an unprimeable number, because it can be changed into a prime (1271939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2171 + ... + 2693.

2^1271936 is an apocalyptic number.

1271936 is a gapful number since it is divisible by the number (16) 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 1271936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336200).

1271936 is an abundant number, since it is smaller than the sum of its proper divisors (1400464).

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

1271936 is an equidigital number, since it uses as much as digits as its factorization.

1271936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its digits is 2268, while the sum is 29.

The square root of 1271936 is about 1127.8014009567. The cubic root of 1271936 is about 108.3482130778.

The spelling of 1271936 in words is "one million, two hundred seventy-one thousand, nine hundred thirty-six".