1681300 has 72 divisors (see below), whose sum is σ = 4124736. Its totient is φ = 591360.

The previous prime is 1681289. The next prime is 1681307. The reversal of 1681300 is 31861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39079 + ... + 39121.

It is an arithmetic number, because the mean of its divisors is an integer number (57288).

2^1681300 is an apocalyptic number.

1681300 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 1681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368).

1681300 is an abundant number, since it is smaller than the sum of its proper divisors (2443436).

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

1681300 is a wasteful number, since it uses less digits than its factorization.

1681300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1681300 is about 1296.6495285928. The cubic root of 1681300 is about 118.9090942390.

The spelling of 1681300 in words is "one million, six hundred eighty-one thousand, three hundred".