1682229696 has 336 divisors, whose sum is σ = 5569500672. Its totient is φ = 438681600.

The previous prime is 1682229671. The next prime is 1682229707. The reversal of 1682229696 is 6969222861.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23693341 + ... + 23693411.

Almost surely, 2^1682229696 is an apocalyptic number.

1682229696 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 1682229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784750336).

1682229696 is an abundant number, since it is smaller than the sum of its proper divisors (3887270976).

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

1682229696 is a wasteful number, since it uses less digits than its factorization.

1682229696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 1682229696 is about 41014.9935511393. The cubic root of 1682229696 is about 1189.3100762722.

The spelling of 1682229696 in words is "one billion, six hundred eighty-two million, two hundred twenty-nine thousand, six hundred ninety-six".