1680923904 has 288 divisors, whose sum is σ = 5241535488. Its totient is φ = 473088000.

The previous prime is 1680923887. The next prime is 1680923953. The reversal of 1680923904 is 4093290861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7966359 + ... + 7966569.

It is an arithmetic number, because the mean of its divisors is an integer number (18199776).

Almost surely, 2^1680923904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680923904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620767744).

1680923904 is an abundant number, since it is smaller than the sum of its proper divisors (3560611584).

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

1680923904 is a wasteful number, since it uses less digits than its factorization.

1680923904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1680923904 is about 40999.0719894975. The cubic root of 1680923904 is about 1189.0022717782.

The spelling of 1680923904 in words is "one billion, six hundred eighty million, nine hundred twenty-three thousand, nine hundred four".