1687730724 has 81 divisors (see below), whose sum is σ = 4399141201. Its totient is φ = 545568960.

The previous prime is 1687730669. The next prime is 1687730747. The reversal of 1687730724 is 4270377861.

The square root of 1687730724 is 41082.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81324324 + 1606406400 = 9018^2 + 40080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1687730724.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10106089 + ... + 10106255.

Almost surely, 2^1687730724 is an apocalyptic number.

1687730724 is the 41082-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1687730724

1687730724 is an abundant number, since it is smaller than the sum of its proper divisors (2711410477).

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

1687730724 is a wasteful number, since it uses less digits than its factorization.

1687730724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The cubic root of 1687730724 is about 1190.6050459879.

The spelling of 1687730724 in words is "one billion, six hundred eighty-seven million, seven hundred thirty thousand, seven hundred twenty-four".