1596960864 has 144 divisors (see below), whose sum is σ = 4719798720. Its totient is φ = 511580160.

The previous prime is 1596960857. The next prime is 1596960901. The reversal of 1596960864 is 4680696951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1596960864² = 5100568002295252992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1596960864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3064924 + ... + 3065444.

It is an arithmetic number, because the mean of its divisors is an integer number (32776380).

Almost surely, 2^1596960864 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 1596960864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359899360).

1596960864 is an abundant number, since it is smaller than the sum of its proper divisors (3122837856).

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

1596960864 is a wasteful number, since it uses less digits than its factorization.

1596960864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 1596960864 is about 39961.9927431053. The cubic root of 1596960864 is about 1168.8660852829.

The spelling of 1596960864 in words is "one billion, five hundred ninety-six million, nine hundred sixty thousand, eight hundred sixty-four".