1597345920 has 192 divisors, whose sum is σ = 5720682240. Its totient is φ = 425917440.

The previous prime is 1597345769. The next prime is 1597345927. The reversal of 1597345920 is 295437951.

It is a happy number.

1597345920 is a `hidden beast` number, since 1 + 59 + 7 + 3 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1597345927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 150385 + ... + 160655.

It is an arithmetic number, because the mean of its divisors is an integer number (29795220).

Almost surely, 2^1597345920 is an apocalyptic number.

1597345920 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 1597345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860341120).

1597345920 is an abundant number, since it is smaller than the sum of its proper divisors (4123336320).

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

1597345920 is an equidigital number, since it uses as much as digits as its factorization.

1597345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 1597345920 is about 39966.8102304900. The cubic root of 1597345920 is about 1168.9600226152.

The spelling of 1597345920 in words is "one billion, five hundred ninety-seven million, three hundred forty-five thousand, nine hundred twenty".