1687271904 has 192 divisors, whose sum is σ = 5173217280. Its totient is φ = 533998080.

The previous prime is 1687271897. The next prime is 1687271983. The reversal of 1687271904 is 4091727861.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1687271904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3914569 + ... + 3914999.

It is an arithmetic number, because the mean of its divisors is an integer number (26943840).

Almost surely, 2^1687271904 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 1687271904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586608640).

1687271904 is an abundant number, since it is smaller than the sum of its proper divisors (3485945376).

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

1687271904 is a wasteful number, since it uses less digits than its factorization.

1687271904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1687271904 is about 41076.4154229650. The cubic root of 1687271904 is about 1190.4971451028.

The spelling of 1687271904 in words is "one billion, six hundred eighty-seven million, two hundred seventy-one thousand, nine hundred four".