1996267680 has 720 divisors, whose sum is σ = 8273089440. Its totient is φ = 451630080.

The previous prime is 1996267673. The next prime is 1996267703. The reversal of 1996267680 is 867626991.

1996267680 is a `hidden beast` number, since 1 + 9 + 9 + 626 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29795007 + ... + 29795073.

It is an arithmetic number, because the mean of its divisors is an integer number (11490402).

Almost surely, 2^1996267680 is an apocalyptic number.

1996267680 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 1996267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136544720).

1996267680 is an abundant number, since it is smaller than the sum of its proper divisors (6276821760).

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

1996267680 is a wasteful number, since it uses less digits than its factorization.

1996267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 1996267680 is about 44679.6114575765. The cubic root of 1996267680 is about 1259.1368237731.

The spelling of 1996267680 in words is "one billion, nine hundred ninety-six million, two hundred sixty-seven thousand, six hundred eighty".