1597268160 has 392 divisors, whose sum is σ = 5876702496. Its totient is φ = 413061120.

The previous prime is 1597268159. The next prime is 1597268173. The reversal of 1597268160 is 618627951.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 9564397 + ... + 9564563.

It is an arithmetic number, because the mean of its divisors is an integer number (14991588).

Almost surely, 2^1597268160 is an apocalyptic number.

1597268160 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 1597268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938351248).

1597268160 is an abundant number, since it is smaller than the sum of its proper divisors (4279434336).

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

1597268160 is an equidigital number, since it uses as much as digits as its factorization.

1597268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1597268160 is about 39965.8374114693. The cubic root of 1597268160 is about 1168.9410536899.

The spelling of 1597268160 in words is "one billion, five hundred ninety-seven million, two hundred sixty-eight thousand, one hundred sixty".