1986120 has 80 divisors (see below), whose sum is σ = 6686460. Its totient is φ = 528768.

The previous prime is 1986109. The next prime is 1986121. The reversal of 1986120 is 216891.

It can be written as a sum of positive squares in 2 ways, for example, as 1633284 + 352836 = 1278^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1986121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2934 + ... + 3546.

2^1986120 is an apocalyptic number.

1986120 is a gapful number since it is divisible by the number (10) 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 1986120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343230).

1986120 is an abundant number, since it is smaller than the sum of its proper divisors (4700340).

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

1986120 is a wasteful number, since it uses less digits than its factorization.

1986120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1986120 is about 1409.2976974366. The cubic root of 1986120 is about 125.6999663934.

It can be divided in two parts, 19861 and 20, that added together give a square (19881 = 141²).

The spelling of 1986120 in words is "one million, nine hundred eighty-six thousand, one hundred twenty".