1681800 has 48 divisors (see below), whose sum is σ = 5215440. Its totient is φ = 448320.

The previous prime is 1681787. The next prime is 1681807. The reversal of 1681800 is 81861.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1681807) 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, 802 + ... + 2001.

It is an arithmetic number, because the mean of its divisors is an integer number (108655).

2^1681800 is an apocalyptic number.

1681800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681800 is an abundant number, since it is smaller than the sum of its proper divisors (3533640).

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

1681800 is a wasteful number, since it uses less digits than its factorization.

1681800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1681800 is about 1296.8423188653. The cubic root of 1681800 is about 118.9208804866.

The spelling of 1681800 in words is "one million, six hundred eighty-one thousand, eight hundred".