1682845416 has 384 divisors, whose sum is σ = 5883494400. Its totient is φ = 443076480.

The previous prime is 1682845399. The next prime is 1682845427. The reversal of 1682845416 is 6145482861.

It is a happy number.

1682845416 is a `hidden beast` number, since 168 + 28 + 454 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7546281 + ... + 7546503.

It is an arithmetic number, because the mean of its divisors is an integer number (15321600).

Almost surely, 2^1682845416 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 1682845416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941747200).

1682845416 is an abundant number, since it is smaller than the sum of its proper divisors (4200648984).

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

1682845416 is a wasteful number, since it uses less digits than its factorization.

1682845416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1682845416 is about 41022.4988999939. The cubic root of 1682845416 is about 1189.4551600417.

The spelling of 1682845416 in words is "one billion, six hundred eighty-two million, eight hundred forty-five thousand, four hundred sixteen".