1682531136 has 336 divisors, whose sum is σ = 5864555200. Its totient is φ = 469877760.

The previous prime is 1682531129. The next prime is 1682531141. The reversal of 1682531136 is 6311352861.

1682531136 is a `hidden beast` number, since 16 + 82 + 531 + 1 + 36 = 666.

It is a super-2 number, since 2×1682531136² = 5661822047218900992, which contains 22 as substring.

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

Its product of digits (25920) is a multiple of the sum of its prime divisors (648).

It is a self number, because there is not a number n which added to its sum of digits gives 1682531136.

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, 2717835 + ... + 2718453.

Almost surely, 2^1682531136 is an apocalyptic number.

1682531136 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 1682531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932277600).

1682531136 is an abundant number, since it is smaller than the sum of its proper divisors (4182024064).

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

1682531136 is a wasteful number, since it uses less digits than its factorization.

1682531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 648 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1682531136 is about 41018.6681402505. The cubic root of 1682531136 is about 1189.3811098175.

Adding to 1682531136 its reverse (6311352861), we get a palindrome (7993883997).

It can be divided in two parts, 16825 and 31136, that added together give a square (47961 = 219²).

The spelling of 1682531136 in words is "one billion, six hundred eighty-two million, five hundred thirty-one thousand, one hundred thirty-six".