1996920800 has 144 divisors (see below), whose sum is σ = 5751631872. Its totient is φ = 662515200.

The previous prime is 1996920799. The next prime is 1996920811. The reversal of 1996920800 is 80296991.

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, 167849 + ... + 179351.

It is an arithmetic number, because the mean of its divisors is an integer number (39941888).

Almost surely, 2^1996920800 is an apocalyptic number.

1996920800 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 1996920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875815936).

1996920800 is an abundant number, since it is smaller than the sum of its proper divisors (3754711072).

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

1996920800 is a wasteful number, since it uses less digits than its factorization.

1996920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11561 (or 11548 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 1996920800 is about 44686.9197864431. The cubic root of 1996920800 is about 1259.2741262972.

The spelling of 1996920800 in words is "one billion, nine hundred ninety-six million, nine hundred twenty thousand, eight hundred".