1127280 has 160 divisors (see below), whose sum is σ = 4428288. Its totient is φ = 230400.

The previous prime is 1127263. The next prime is 1127281. The reversal of 1127280 is 827211.

1127280 = T₄₉₆ + T₄₉₇ + ... + T₅₀₄.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18450 + ... + 18510.

2^1127280 is an apocalyptic number.

1127280 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 1127280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214144).

1127280 is an abundant number, since it is smaller than the sum of its proper divisors (3301008).

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

1127280 is a wasteful number, since it uses less digits than its factorization.

1127280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1127280 is about 1061.7344300719. The cubic root of 1127280 is about 104.0744043502.

The spelling of 1127280 in words is "one million, one hundred twenty-seven thousand, two hundred eighty".