1996688160 has 144 divisors (see below), whose sum is σ = 6876749880. Its totient is φ = 527523840.

The previous prime is 1996688153. The next prime is 1996688179. The reversal of 1996688160 is 618866991.

It can be written as a sum of positive squares in 4 ways, for example, as 1953286416 + 43401744 = 44196^2 + 6588^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1996688097 and 1996688106.

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, 150600 + ... + 163320.

Almost surely, 2^1996688160 is an apocalyptic number.

1996688160 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 1996688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438374940).

1996688160 is an abundant number, since it is smaller than the sum of its proper divisors (4880061720).

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

1996688160 is a wasteful number, since it uses less digits than its factorization.

1996688160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12851 (or 12840 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 1996688160 is about 44684.3167117950. The cubic root of 1996688160 is about 1259.2252228538.

The spelling of 1996688160 in words is "one billion, nine hundred ninety-six million, six hundred eighty-eight thousand, one hundred sixty".