1107984 has 40 divisors (see below), whose sum is σ = 2937312. Its totient is φ = 359680.

The previous prime is 1107937. The next prime is 1107989. The reversal of 1107984 is 4897011.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1107989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1687 + ... + 2249.

2^1107984 is an apocalyptic number.

1107984 is the 563-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468656).

1107984 is an abundant number, since it is smaller than the sum of its proper divisors (1829328).

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

1107984 is a wasteful number, since it uses less digits than its factorization.

1107984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1107984 is about 1052.6081892138. The cubic root of 1107984 is about 103.4771589542.

The spelling of 1107984 in words is "one million, one hundred seven thousand, nine hundred eighty-four".