1660800 has 96 divisors (see below), whose sum is σ = 5501880. Its totient is φ = 440320.

The previous prime is 1660793. The next prime is 1660837. The reversal of 1660800 is 80661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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, 9514 + ... + 9686.

2^1660800 is an apocalyptic number.

1660800 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 1660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750940).

1660800 is an abundant number, since it is smaller than the sum of its proper divisors (3841080).

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

1660800 is a wasteful number, since it uses less digits than its factorization.

1660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1660800 is about 1288.7202954870. The cubic root of 1660800 is about 118.4238325533.

The spelling of 1660800 in words is "one million, six hundred sixty thousand, eight hundred".