1683612864 has 168 divisors, whose sum is σ = 5178460560. Its totient is φ = 541707264.

The previous prime is 1683612863. The next prime is 1683612907. The reversal of 1683612864 is 4682163861.

1683612864 is a `hidden beast` number, since 1 + 6 + 8 + 361 + 286 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1683612863) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 449142 + ... + 452874.

It is an arithmetic number, because the mean of its divisors is an integer number (30824170).

Almost surely, 2^1683612864 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 1683612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589230280).

1683612864 is an abundant number, since it is smaller than the sum of its proper divisors (3494847696).

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

1683612864 is an equidigital number, since it uses as much as digits as its factorization.

1683612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3767 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1683612864 is about 41031.8518226999. The cubic root of 1683612864 is about 1189.6359463546.

The spelling of 1683612864 in words is "one billion, six hundred eighty-three million, six hundred twelve thousand, eight hundred sixty-four".