1687311648 has 480 divisors, whose sum is σ = 5901299712. Its totient is φ = 467596800.

The previous prime is 1687311643. The next prime is 1687311653. The reversal of 1687311648 is 8461137861.

It is an interprime number because it is at equal distance from previous prime (1687311643) and next prime (1687311653).

It is not an unprimeable number, because it can be changed into a prime (1687311641) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 20329015 + ... + 20329097.

Almost surely, 2^1687311648 is an apocalyptic number.

1687311648 is a gapful number since it is divisible by the number (18) 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 1687311648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950649856).

1687311648 is an abundant number, since it is smaller than the sum of its proper divisors (4213988064).

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

1687311648 is a wasteful number, since it uses less digits than its factorization.

1687311648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1687311648 is about 41076.8992013759. The cubic root of 1687311648 is about 1190.5064924891.

The spelling of 1687311648 in words is "one billion, six hundred eighty-seven million, three hundred eleven thousand, six hundred forty-eight".