1683103968 has 192 divisors, whose sum is σ = 6042193920. Its totient is φ = 443874816.

The previous prime is 1683103967. The next prime is 1683103969. The reversal of 1683103968 is 8693013861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1683103967) and next prime (1683103969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683103967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67921 + ... + 89327.

It is an arithmetic number, because the mean of its divisors is an integer number (31469760).

Almost surely, 2^1683103968 is an apocalyptic number.

1683103968 is a gapful number since it is divisible by the number (18) 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 1683103968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021096960).

1683103968 is an abundant number, since it is smaller than the sum of its proper divisors (4359089952).

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

1683103968 is a wasteful number, since it uses less digits than its factorization.

1683103968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21446 (or 21432 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1683103968 is about 41025.6501228195. The cubic root of 1683103968 is about 1189.5160727988.

The spelling of 1683103968 in words is "one billion, six hundred eighty-three million, one hundred three thousand, nine hundred sixty-eight".