1683346080 has 384 divisors, whose sum is σ = 6139058688. Its totient is φ = 384417792.

The previous prime is 1683346079. The next prime is 1683346081. The reversal of 1683346080 is 806433861.

It is an interprime number because it is at equal distance from previous prime (1683346079) and next prime (1683346081).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1683346081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5310082 + ... + 5310398.

It is an arithmetic number, because the mean of its divisors is an integer number (15987132).

Almost surely, 2^1683346080 is an apocalyptic number.

1683346080 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 1683346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069529344).

1683346080 is an abundant number, since it is smaller than the sum of its proper divisors (4455712608).

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

1683346080 is a wasteful number, since it uses less digits than its factorization.

1683346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1683346080 is about 41028.6007560580. The cubic root of 1683346080 is about 1189.5731067695.

The spelling of 1683346080 in words is "one billion, six hundred eighty-three million, three hundred forty-six thousand, eighty".