1687314240 has 224 divisors, whose sum is σ = 6028456320. Its totient is φ = 449763840.

The previous prime is 1687314217. The next prime is 1687314263. The reversal of 1687314240 is 424137861.

1687314240 is a `hidden beast` number, since 168 + 73 + 1 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1687314217) and next prime (1687314263).

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

It is a junction number, because it is equal to n+sod(n) for n = 1687314195 and 1687314204.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 698635 + ... + 701045.

Almost surely, 2^1687314240 is an apocalyptic number.

1687314240 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 1687314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014228160).

1687314240 is an abundant number, since it is smaller than the sum of its proper divisors (4341142080).

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

1687314240 is an frugal number, since it uses more digits than its factorization.

1687314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1687314240 is about 41076.9307519440. The cubic root of 1687314240 is about 1190.5071020961.

It can be divided in two parts, 16873 and 14240, that added together give a palindrome (31113).

The spelling of 1687314240 in words is "one billion, six hundred eighty-seven million, three hundred fourteen thousand, two hundred forty".