1597119264 has 288 divisors, whose sum is σ = 5409016704. Its totient is φ = 441999360.

The previous prime is 1597119257. The next prime is 1597119269. The reversal of 1597119264 is 4629117951.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1597119269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463359 + ... + 1464449.

It is an arithmetic number, because the mean of its divisors is an integer number (18781308).

Almost surely, 2^1597119264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1597119264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704508352).

1597119264 is an abundant number, since it is smaller than the sum of its proper divisors (3811897440).

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

1597119264 is a wasteful number, since it uses less digits than its factorization.

1597119264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1149 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1597119264 is about 39963.9745771113. The cubic root of 1597119264 is about 1168.9047299925.

The spelling of 1597119264 in words is "one billion, five hundred ninety-seven million, one hundred nineteen thousand, two hundred sixty-four".