1582130160 has 480 divisors, whose sum is σ = 6195728448. Its totient is φ = 358318080.

The previous prime is 1582130159. The next prime is 1582130183. The reversal of 1582130160 is 610312851.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9706239 + ... + 9706401.

Almost surely, 2^1582130160 is an apocalyptic number.

1582130160 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 1582130160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097864224).

1582130160 is an abundant number, since it is smaller than the sum of its proper divisors (4613598288).

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

1582130160 is a wasteful number, since it uses less digits than its factorization.

1582130160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1582130160 is about 39775.9997988737. Note that the first 3 decimals coincide. The cubic root of 1582130160 is about 1165.2364725939.

The spelling of 1582130160 in words is "one billion, five hundred eighty-two million, one hundred thirty thousand, one hundred sixty".