1386085120 has 216 divisors, whose sum is σ = 3934242144. Its totient is φ = 458293248.

The previous prime is 1386085109. The next prime is 1386085147. The reversal of 1386085120 is 215806831.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12266184 + ... + 12266296.

It is an arithmetic number, because the mean of its divisors is an integer number (18214084).

Almost surely, 2^1386085120 is an apocalyptic number.

1386085120 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 1386085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967121072).

1386085120 is an abundant number, since it is smaller than the sum of its proper divisors (2548157024).

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

1386085120 is an equidigital number, since it uses as much as digits as its factorization.

1386085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 1386085120 is about 37230.1641145993. The cubic root of 1386085120 is about 1114.9703035922.

The spelling of 1386085120 in words is "one billion, three hundred eighty-six million, eighty-five thousand, one hundred twenty".