1986336 has 144 divisors (see below), whose sum is σ = 6703200. Its totient is φ = 570240.

The previous prime is 1986323. The next prime is 1986337. The reversal of 1986336 is 6336891.

It is a happy number.

1986336 is a `hidden beast` number, since 19 + 8 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 9⁴ + 8³ + 6⁷ + 3³ + 3⁹ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 1986336.

It is not an unprimeable number, because it can be changed into a prime (1986337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104535 + ... + 104553.

It is an arithmetic number, because the mean of its divisors is an integer number (46550).

2^1986336 is an apocalyptic number.

1986336 is a gapful number since it is divisible by the number (16) 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 1986336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351600).

1986336 is an abundant number, since it is smaller than the sum of its proper divisors (4716864).

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

1986336 is a wasteful number, since it uses less digits than its factorization.

1986336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 35 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1986336 is about 1409.3743292681. The cubic root of 1986336 is about 125.7045230514.

The spelling of 1986336 in words is "one million, nine hundred eighty-six thousand, three hundred thirty-six".