1683789120 has 560 divisors, whose sum is σ = 6815571840. Its totient is φ = 391163904.

The previous prime is 1683789113. The next prime is 1683789137. The reversal of 1683789120 is 219873861.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6402109 + ... + 6402371.

It is an arithmetic number, because the mean of its divisors is an integer number (12170664).

Almost surely, 2^1683789120 is an apocalyptic number.

1683789120 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 1683789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407785920).

1683789120 is an abundant number, since it is smaller than the sum of its proper divisors (5131782720).

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

1683789120 is a wasteful number, since it uses less digits than its factorization.

1683789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1683789120 is about 41033.9995613394. Note that the first 3 decimals coincide. The cubic root of 1683789120 is about 1189.6774588981.

The spelling of 1683789120 in words is "one billion, six hundred eighty-three million, seven hundred eighty-nine thousand, one hundred twenty".