1682071776 has 288 divisors, whose sum is σ = 6030775296. Its totient is φ = 432000000.

The previous prime is 1682071757. The next prime is 1682071777. The reversal of 1682071776 is 6771702861.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682071777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2239401 + ... + 2240151.

It is an arithmetic number, because the mean of its divisors is an integer number (20940192).

Almost surely, 2^1682071776 is an apocalyptic number.

1682071776 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 1682071776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015387648).

1682071776 is an abundant number, since it is smaller than the sum of its proper divisors (4348703520).

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

1682071776 is a wasteful number, since it uses less digits than its factorization.

1682071776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 1682071776 is about 41013.0683563178. The cubic root of 1682071776 is about 1189.2728594511.

The spelling of 1682071776 in words is "one billion, six hundred eighty-two million, seventy-one thousand, seven hundred seventy-six".