1986768 has 120 divisors (see below), whose sum is σ = 6680128. Its totient is φ = 559872.

The previous prime is 1986757. The next prime is 1986769. The reversal of 1986768 is 8676891.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1986769) 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, 27180 + ... + 27252.

2^1986768 is an apocalyptic number.

1986768 is a gapful number since it is divisible by the number (18) 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 1986768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340064).

1986768 is an abundant number, since it is smaller than the sum of its proper divisors (4693360).

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

1986768 is an equidigital number, since it uses as much as digits as its factorization.

1986768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1986768 is about 1409.5275804325. The cubic root of 1986768 is about 125.7136353764.

The spelling of 1986768 in words is "one million, nine hundred eighty-six thousand, seven hundred sixty-eight".