1261128 has 64 divisors (see below), whose sum is σ = 3654720. Its totient is φ = 358400.

The previous prime is 1261121. The next prime is 1261133. The reversal of 1261128 is 8211621.

It is a Cunningham number, because it is equal to 1123²-1.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4348 + ... + 4628.

It is an arithmetic number, because the mean of its divisors is an integer number (57105).

2^1261128 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 1261128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827360).

1261128 is an abundant number, since it is smaller than the sum of its proper divisors (2393592).

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

1261128 is a wasteful number, since it uses less digits than its factorization.

1261128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 1261128 is about 1122.9995547639. Note that the first 3 decimals coincide. The cubic root of 1261128 is about 108.0404512395.

Adding to 1261128 its reverse (8211621), we get a palindrome (9472749).

The spelling of 1261128 in words is "one million, two hundred sixty-one thousand, one hundred twenty-eight".