1153984 has 56 divisors (see below), whose sum is σ = 2631440. Its totient is φ = 497664.

The previous prime is 1153973. The next prime is 1154017. The reversal of 1153984 is 4893511.

1153984 = T₁₅₇ + T₁₅₈ + ... + T₂₂₀.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15772 + ... + 15844.

It is an arithmetic number, because the mean of its divisors is an integer number (46990).

2^1153984 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 1153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315720).

1153984 is an abundant number, since it is smaller than the sum of its proper divisors (1477456).

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

1153984 is a wasteful number, since it uses less digits than its factorization.

1153984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 1153984 is about 1074.2364730356. The cubic root of 1153984 is about 104.8898012412.

The spelling of 1153984 in words is "one million, one hundred fifty-three thousand, nine hundred eighty-four".