1687944960 has 648 divisors, whose sum is σ = 6890037840. Its totient is φ = 391053312.

The previous prime is 1687944941. The next prime is 1687944989. The reversal of 1687944960 is 694497861.

1687944960 is a `hidden beast` number, since 1 + 68 + 7 + 94 + 496 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1687944897 and 1687944906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99290872 + ... + 99290888.

Almost surely, 2^1687944960 is an apocalyptic number.

1687944960 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 1687944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445018920).

1687944960 is an abundant number, since it is smaller than the sum of its proper divisors (5202092880).

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

1687944960 is a wasteful number, since it uses less digits than its factorization.

1687944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1687944960 is about 41084.6073365683. The cubic root of 1687944960 is about 1190.6554212576.

The spelling of 1687944960 in words is "one billion, six hundred eighty-seven million, nine hundred forty-four thousand, nine hundred sixty".