1683968 has 80 divisors (see below), whose sum is σ = 4124736. Its totient is φ = 675840.

The previous prime is 1683949. The next prime is 1683971. The reversal of 1683968 is 8693861.

It is a happy number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73205 + ... + 73227.

2^1683968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368).

1683968 is an abundant number, since it is smaller than the sum of its proper divisors (2440768).

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

1683968 is a wasteful number, since it uses less digits than its factorization.

1683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 49 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 1683968 is about 1297.6779261435. The cubic root of 1683968 is about 118.9719586495.

The spelling of 1683968 in words is "one million, six hundred eighty-three thousand, nine hundred sixty-eight".