1687936848 has 120 divisors (see below), whose sum is σ = 4746258720. Its totient is φ = 516672000.

The previous prime is 1687936847. The next prime is 1687936849. The reversal of 1687936848 is 8486397861.

It is an interprime number because it is at equal distance from previous prime (1687936847) and next prime (1687936849).

It is a junction number, because it is equal to n+sod(n) for n = 1687936791 and 1687936800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687936843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2035698 + ... + 2036526.

It is an arithmetic number, because the mean of its divisors is an integer number (39552156).

Almost surely, 2^1687936848 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 1687936848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373129360).

1687936848 is an abundant number, since it is smaller than the sum of its proper divisors (3058321872).

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

1687936848 is a wasteful number, since it uses less digits than its factorization.

1687936848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1098 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The square root of 1687936848 is about 41084.5086133448. The cubic root of 1687936848 is about 1190.6535138865.

The spelling of 1687936848 in words is "one billion, six hundred eighty-seven million, nine hundred thirty-six thousand, eight hundred forty-eight".