1117984 has 72 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 443520.

The previous prime is 1117973. The next prime is 1117993. The reversal of 1117984 is 4897111.

1117984 = T₁₅₄ + T₁₅₅ + ... + T₂₁₇.

It is a Harshad number since it is a multiple of its sum of digits (31).

Its product of digits (2016) is a multiple of the sum of its prime divisors (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36049 + ... + 36079.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2^1117984 is an apocalyptic number.

1117984 is a gapful number since it is divisible by the number (14) 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 1117984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

1117984 is an abundant number, since it is smaller than the sum of its proper divisors (1639904).

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

1117984 is a wasteful number, since it uses less digits than its factorization.

1117984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its digits is 2016, while the sum is 31.

The square root of 1117984 is about 1057.3476249560. The cubic root of 1117984 is about 103.7875346844.

The spelling of 1117984 in words is "one million, one hundred seventeen thousand, nine hundred eighty-four".