1682224128 has 264 divisors, whose sum is σ = 5513799200. Its totient is φ = 489701376.

The previous prime is 1682224127. The next prime is 1682224157. The reversal of 1682224128 is 8214222861.

1682224128 is a `hidden beast` number, since 16 + 8 + 222 + 412 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1682224092 and 1682224101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682224121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2275983 + ... + 2276721.

Almost surely, 2^1682224128 is an apocalyptic number.

1682224128 is a gapful number since it is divisible by the number (18) 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 1682224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756899600).

1682224128 is an abundant number, since it is smaller than the sum of its proper divisors (3831575072).

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

1682224128 is a wasteful number, since it uses less digits than its factorization.

1682224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 776 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1682224128 is about 41014.9256734667. The cubic root of 1682224128 is about 1189.3087641078.

Adding to 1682224128 its reverse (8214222861), we get a palindrome (9896446989).

The spelling of 1682224128 in words is "one billion, six hundred eighty-two million, two hundred twenty-four thousand, one hundred twenty-eight".