1687340160 has 480 divisors, whose sum is σ = 6648018300. Its totient is φ = 407531520.

The previous prime is 1687340077. The next prime is 1687340197. The reversal of 1687340160 is 610437861.

It can be written as a sum of positive squares in 2 ways, for example, as 1506060864 + 181279296 = 38808^2 + 13464^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6272506 + ... + 6272774.

Almost surely, 2^1687340160 is an apocalyptic number.

1687340160 is a gapful number since it is divisible by the number (10) 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 1687340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324009150).

1687340160 is an abundant number, since it is smaller than the sum of its proper divisors (4960678140).

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

1687340160 is a wasteful number, since it uses less digits than its factorization.

1687340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1687340160 is about 41077.2462562913. The cubic root of 1687340160 is about 1190.5131981323.

The spelling of 1687340160 in words is "one billion, six hundred eighty-seven million, three hundred forty thousand, one hundred sixty".