1685882016 has 144 divisors (see below), whose sum is σ = 5900678784. Its totient is φ = 444621312.

The previous prime is 1685881999. The next prime is 1685882047. The reversal of 1685882016 is 6102885861.

1685882016 is a `hidden beast` number, since 1 + 68 + 588 + 2 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5956 + ... + 58371.

It is an arithmetic number, because the mean of its divisors is an integer number (40976936).

Almost surely, 2^1685882016 is an apocalyptic number.

1685882016 is a gapful number since it is divisible by the number (16) 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 1685882016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950339392).

1685882016 is an abundant number, since it is smaller than the sum of its proper divisors (4214796768).

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

1685882016 is a wasteful number, since it uses less digits than its factorization.

1685882016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64363 (or 64352 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1685882016 is about 41059.4936159714. The cubic root of 1685882016 is about 1190.1701651535.

The spelling of 1685882016 in words is "one billion, six hundred eighty-five million, eight hundred eighty-two thousand, sixteen".