1597440 has 112 divisors (see below), whose sum is σ = 5504688. Its totient is φ = 393216.

The previous prime is 1597433. The next prime is 1597441. The reversal of 1597440 is 447951.

It is a happy number.

1597440 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1597398 and 1597407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1597441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122874 + ... + 122886.

It is an arithmetic number, because the mean of its divisors is an integer number (49149).

2^1597440 is an apocalyptic number.

1597440 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 1597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752344).

1597440 is an abundant number, since it is smaller than the sum of its proper divisors (3907248).

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

1597440 is an equidigital number, since it uses as much as digits as its factorization.

1597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1597440 is about 1263.8987301204. The cubic root of 1597440 is about 116.8982971850.

The spelling of 1597440 in words is "one million, five hundred ninety-seven thousand, four hundred forty".