1276128 has 96 divisors (see below), whose sum is σ = 4273920. Its totient is φ = 362880.

The previous prime is 1276123. The next prime is 1276129. The reversal of 1276128 is 8216721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (1276123) 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, 5943 + ... + 6153.

It is an arithmetic number, because the mean of its divisors is an integer number (44520).

2^1276128 is an apocalyptic number.

1276128 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 1276128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136960).

1276128 is an abundant number, since it is smaller than the sum of its proper divisors (2997792).

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

1276128 is a wasteful number, since it uses less digits than its factorization.

1276128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1276128 is about 1129.6583554332. The cubic root of 1276128 is about 108.4671125735.

The spelling of 1276128 in words is "one million, two hundred seventy-six thousand, one hundred twenty-eight".