1985984 has 112 divisors (see below), whose sum is σ = 5462016. Its totient is φ = 691200.

The previous prime is 1985939. The next prime is 1985987. The reversal of 1985984 is 4895891.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a d-powerful number, because it can be written as 1 + 9 + 8 + 5⁹ + 9 + 8⁵ + 4³ .

Its product of digits (103680) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985987) 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, 64049 + ... + 64079.

It is an arithmetic number, because the mean of its divisors is an integer number (48768).

2^1985984 is an apocalyptic number.

1985984 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 1985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731008).

1985984 is an abundant number, since it is smaller than the sum of its proper divisors (3476032).

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

1985984 is a wasteful number, since it uses less digits than its factorization.

1985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its digits is 103680, while the sum is 44.

The square root of 1985984 is about 1409.2494456270. The cubic root of 1985984 is about 125.6970972171.

The spelling of 1985984 in words is "one million, nine hundred eighty-five thousand, nine hundred eighty-four".