1127984 has 80 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 430080.

The previous prime is 1127983. The next prime is 1127993. The reversal of 1127984 is 4897211.

Its product of digits (4032) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1127984.

It is not an unprimeable number, because it can be changed into a prime (1127981) 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, 38882 + ... + 38910.

It is an arithmetic number, because the mean of its divisors is an integer number (35154).

2^1127984 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 1127984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1127984 is an abundant number, since it is smaller than the sum of its proper divisors (1684336).

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

1127984 is a wasteful number, since it uses less digits than its factorization.

1127984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 1127984 is about 1062.0659113257. The cubic root of 1127984 is about 104.0960650833.

The spelling of 1127984 in words is "one million, one hundred twenty-seven thousand, nine hundred eighty-four".