1682531448 has 128 divisors (see below), whose sum is σ = 4742062080. Its totient is φ = 493931520.

The previous prime is 1682531441. The next prime is 1682531449. The reversal of 1682531448 is 8441352861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682531441) 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 31 ways as a sum of consecutive naturals, for example, 704865 + ... + 707247.

It is an arithmetic number, because the mean of its divisors is an integer number (37047360).

Almost surely, 2^1682531448 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 1682531448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371031040).

1682531448 is an abundant number, since it is smaller than the sum of its proper divisors (3059530632).

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

1682531448 is a wasteful number, since it uses less digits than its factorization.

1682531448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2505 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 1682531448 is about 41018.6719433967. The cubic root of 1682531448 is about 1189.3811833351.

The spelling of 1682531448 in words is "one billion, six hundred eighty-two million, five hundred thirty-one thousand, four hundred forty-eight".