1986160 has 80 divisors (see below), whose sum is σ = 5258592. Its totient is φ = 691200.

The previous prime is 1986137. The next prime is 1986167. The reversal of 1986160 is 616891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1986167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32530 + ... + 32590.

2^1986160 is an apocalyptic number.

1986160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1986160 is the 814-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1986160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629296).

1986160 is an abundant number, since it is smaller than the sum of its proper divisors (3272432).

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

1986160 is a wasteful number, since it uses less digits than its factorization.

1986160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1986160 is about 1409.3118888309. The cubic root of 1986160 is about 125.7008102439.

The spelling of 1986160 in words is "one million, nine hundred eighty-six thousand, one hundred sixty".