1988800 has 84 divisors (see below), whose sum is σ = 5385816. Its totient is φ = 716800.

The previous prime is 1988797. The next prime is 1988801. The reversal of 1988800 is 88891.

It is not an unprimeable number, because it can be changed into a prime (1988801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17544 + ... + 17656.

2^1988800 is an apocalyptic number.

1988800 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 1988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692908).

1988800 is an abundant number, since it is smaller than the sum of its proper divisors (3397016).

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

1988800 is a wasteful number, since it uses less digits than its factorization.

1988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 1988800 is about 1410.2482051043. The cubic root of 1988800 is about 125.7564793434.

It can be divided in two parts, 198 and 8800, that multiplied together give a square (1742400 = 1320²).

The spelling of 1988800 in words is "one million, nine hundred eighty-eight thousand, eight hundred".