1996800 has 144 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 491520.

The previous prime is 1996793. The next prime is 1996817. The reversal of 1996800 is 86991.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153594 + ... + 153606.

2^1996800 is an apocalyptic number.

1996800 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 1996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).

1996800 is an abundant number, since it is smaller than the sum of its proper divisors (5112120).

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

1996800 is a wasteful number, since it uses less digits than its factorization.

1996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1996800 is about 1413.0817386125. The cubic root of 1996800 is about 125.9248733305.

The spelling of 1996800 in words is "one million, nine hundred ninety-six thousand, eight hundred".