1127680 has 36 divisors (see below), whose sum is σ = 2704212. Its totient is φ = 450560.

The previous prime is 1127663. The next prime is 1127683. The reversal of 1127680 is 867211.

It can be written as a sum of positive squares in 2 ways, for example, as 295936 + 831744 = 544^2 + 912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 840 + ... + 1720.

It is an arithmetic number, because the mean of its divisors is an integer number (75117).

2^1127680 is an apocalyptic number.

1127680 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 1127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352106).

1127680 is an abundant number, since it is smaller than the sum of its proper divisors (1576532).

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

1127680 is an frugal number, since it uses more digits than its factorization.

1127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1127680 is about 1061.9227843869. The cubic root of 1127680 is about 104.0867126908.

The spelling of 1127680 in words is "one million, one hundred twenty-seven thousand, six hundred eighty".