1271988 has 36 divisors (see below), whose sum is σ = 3259620. Its totient is φ = 418176.

The previous prime is 1271987. The next prime is 1271999. The reversal of 1271988 is 8891721.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 736164 = 732^2 + 858^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271987) 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, 3006 + ... + 3402.

It is an arithmetic number, because the mean of its divisors is an integer number (90545).

2^1271988 is an apocalyptic number.

1271988 is a gapful number since it is divisible by the number (18) 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 1271988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629810).

1271988 is an abundant number, since it is smaller than the sum of its proper divisors (1987632).

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

1271988 is a wasteful number, since it uses less digits than its factorization.

1271988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 1271988 is about 1127.8244544254. The cubic root of 1271988 is about 108.3496895751.

The spelling of 1271988 in words is "one million, two hundred seventy-one thousand, nine hundred eighty-eight".