1683102960 has 360 divisors, whose sum is σ = 7174670256. Its totient is φ = 349655040.

The previous prime is 1683102943. The next prime is 1683102961. The reversal of 1683102960 is 692013861.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683102961) 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 71 ways as a sum of consecutive naturals, for example, 385912 + ... + 390248.

Almost surely, 2^1683102960 is an apocalyptic number.

1683102960 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 1683102960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587335128).

1683102960 is an abundant number, since it is smaller than the sum of its proper divisors (5491567296).

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

1683102960 is a wasteful number, since it uses less digits than its factorization.

1683102960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1683102960 is about 41025.6378378204. The cubic root of 1683102960 is about 1189.5158353342.

The spelling of 1683102960 in words is "one billion, six hundred eighty-three million, one hundred two thousand, nine hundred sixty".