1993856 has 32 divisors (see below), whose sum is σ = 4089180. Its totient is φ = 967680.

The previous prime is 1993829. The next prime is 1993861. The reversal of 1993856 is 6583991.

It can be written as a sum of positive squares in 2 ways, for example, as 1960000 + 33856 = 1400^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4526 + ... + 4946.

2^1993856 is an apocalyptic number.

1993856 is a gapful number since it is divisible by the number (16) 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 1993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044590).

1993856 is an abundant number, since it is smaller than the sum of its proper divisors (2095324).

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

1993856 is an equidigital number, since it uses as much as digits as its factorization.

1993856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its digits is 58320, while the sum is 41.

The square root of 1993856 is about 1412.0396594997. The cubic root of 1993856 is about 125.8629567357.

The spelling of 1993856 in words is "one million, nine hundred ninety-three thousand, eight hundred fifty-six".