1687368720 has 320 divisors, whose sum is σ = 5774273280. Its totient is φ = 406093824.

The previous prime is 1687368713. The next prime is 1687368731. The reversal of 1687368720 is 278637861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1687368720.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12316492 + ... + 12316628.

It is an arithmetic number, because the mean of its divisors is an integer number (18044604).

Almost surely, 2^1687368720 is an apocalyptic number.

1687368720 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 1687368720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887136640).

1687368720 is an abundant number, since it is smaller than the sum of its proper divisors (4086904560).

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

1687368720 is a wasteful number, since it uses less digits than its factorization.

1687368720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 1687368720 is about 41077.5938925347. The cubic root of 1687368720 is about 1190.5199149888.

The spelling of 1687368720 in words is "one billion, six hundred eighty-seven million, three hundred sixty-eight thousand, seven hundred twenty".