1597112320 has 72 divisors (see below), whose sum is σ = 3834627804. Its totient is φ = 638582784.

The previous prime is 1597112303. The next prime is 1597112329. The reversal of 1597112320 is 232117951.

It can be written as a sum of positive squares in 2 ways, for example, as 1534132224 + 62980096 = 39168^2 + 7936^2 .

It is not an unprimeable number, because it can be changed into a prime (1597112329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 654142 + ... + 656578.

Almost surely, 2^1597112320 is an apocalyptic number.

1597112320 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 1597112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917313902).

1597112320 is an abundant number, since it is smaller than the sum of its proper divisors (2237515484).

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

1597112320 is an frugal number, since it uses more digits than its factorization.

1597112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 1597112320 is about 39963.8876987712. The cubic root of 1597112320 is about 1168.9030359245.

The spelling of 1597112320 in words is "one billion, five hundred ninety-seven million, one hundred twelve thousand, three hundred twenty".