1597728 has 96 divisors (see below), whose sum is σ = 4898880. Its totient is φ = 450560.

The previous prime is 1597723. The next prime is 1597747. The reversal of 1597728 is 8277951.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1597721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17908 + ... + 17996.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2^1597728 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 1597728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449440).

1597728 is an abundant number, since it is smaller than the sum of its proper divisors (3301152).

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

1597728 is a wasteful number, since it uses less digits than its factorization.

1597728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 35280, while the sum is 39.

The square root of 1597728 is about 1264.0126581645. The cubic root of 1597728 is about 116.9053219009.

It can be divided in two parts, 159 and 7728, that added together give a palindrome (7887).

The spelling of 1597728 in words is "one million, five hundred ninety-seven thousand, seven hundred twenty-eight".