1586161920 has 144 divisors (see below), whose sum is σ = 5789589120. Its totient is φ = 362545152.

The previous prime is 1586161909. The next prime is 1586161981. The reversal of 1586161920 is 291616851.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2625 + ... + 56384.

It is an arithmetic number, because the mean of its divisors is an integer number (40205480).

Almost surely, 2^1586161920 is an apocalyptic number.

1586161920 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 1586161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894794560).

1586161920 is an abundant number, since it is smaller than the sum of its proper divisors (4203427200).

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

1586161920 is an equidigital number, since it uses as much as digits as its factorization.

1586161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59040 (or 59026 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 1586161920 is about 39826.6483651336. The cubic root of 1586161920 is about 1166.2254280632.

The spelling of 1586161920 in words is "one billion, five hundred eighty-six million, one hundred sixty-one thousand, nine hundred twenty".