1683151680 has 336 divisors, whose sum is σ = 6302044800. Its totient is φ = 372817920.

The previous prime is 1683151669. The next prime is 1683151693. The reversal of 1683151680 is 861513861.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11296246 + ... + 11296394.

Almost surely, 2^1683151680 is an apocalyptic number.

1683151680 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 1683151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151022400).

1683151680 is an abundant number, since it is smaller than the sum of its proper divisors (4618893120).

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

1683151680 is a wasteful number, since it uses less digits than its factorization.

1683151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1683151680 is about 41026.2316085697. The cubic root of 1683151680 is about 1189.5273126777.

The spelling of 1683151680 in words is "one billion, six hundred eighty-three million, one hundred fifty-one thousand, six hundred eighty".