1996800960 has 672 divisors, whose sum is σ = 8556150528. Its totient is φ = 388792320.

The previous prime is 1996800863. The next prime is 1996800979. The reversal of 1996800960 is 690086991.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8796367 + ... + 8796593.

Almost surely, 2^1996800960 is an apocalyptic number.

1996800960 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 1996800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278075264).

1996800960 is an abundant number, since it is smaller than the sum of its proper divisors (6559349568).

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

1996800960 is a wasteful number, since it uses less digits than its factorization.

1996800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 1996800960 is about 44685.5788817824. The cubic root of 1996800960 is about 1259.2489351078.

The spelling of 1996800960 in words is "one billion, nine hundred ninety-six million, eight hundred thousand, nine hundred sixty".