1596960 has 72 divisors (see below), whose sum is σ = 5454540. Its totient is φ = 425472.

The previous prime is 1596941. The next prime is 1596961. The reversal of 1596960 is 696951.

1596960 is a `hidden beast` number, since 1 + 596 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1354896 + 242064 = 1164^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1596961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 886 + ... + 1994.

2^1596960 is an apocalyptic number.

1596960 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 1596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727270).

1596960 is an abundant number, since it is smaller than the sum of its proper divisors (3857580).

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

1596960 is a wasteful number, since it uses less digits than its factorization.

1596960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1596960 is about 1263.7088272225. The cubic root of 1596960 is about 116.8865874487.

Subtracting from 1596960 its reverse (696951), we obtain a palindrome (900009).

It can be divided in two parts, 1596 and 960, that added together give a triangular number (2556 = T₇₁).

The spelling of 1596960 in words is "one million, five hundred ninety-six thousand, nine hundred sixty".