1683463320 has 288 divisors, whose sum is σ = 6874227360. Its totient is φ = 349747200.

The previous prime is 1683463297. The next prime is 1683463351. The reversal of 1683463320 is 233643861.

1683463320 is a `hidden beast` number, since 16 + 8 + 3 + 4 + 633 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 302160 + ... + 307680.

It is an arithmetic number, because the mean of its divisors is an integer number (23868845).

Almost surely, 2^1683463320 is an apocalyptic number.

1683463320 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 1683463320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437113680).

1683463320 is an abundant number, since it is smaller than the sum of its proper divisors (5190764040).

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

1683463320 is a wasteful number, since it uses less digits than its factorization.

1683463320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1683463320 is about 41030.0294906060. The cubic root of 1683463320 is about 1189.6007228600.

The spelling of 1683463320 in words is "one billion, six hundred eighty-three million, four hundred sixty-three thousand, three hundred twenty".