1687896000 has 672 divisors, whose sum is σ = 7343436672. Its totient is φ = 361267200.

The previous prime is 1687895987. The next prime is 1687896011. The reversal of 1687896000 is 6987861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8567902 + ... + 8568098.

Almost surely, 2^1687896000 is an apocalyptic number.

1687896000 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 1687896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671718336).

1687896000 is an abundant number, since it is smaller than the sum of its proper divisors (5655540672).

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

1687896000 is a wasteful number, since it uses less digits than its factorization.

1687896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1687896000 is about 41084.0114886558. The cubic root of 1687896000 is about 1190.6439092208.

The spelling of 1687896000 in words is "one billion, six hundred eighty-seven million, eight hundred ninety-six thousand".