1687557312 has 252 divisors, whose sum is σ = 5672175600. Its totient is φ = 469886976.

The previous prime is 1687557283. The next prime is 1687557337. The reversal of 1687557312 is 2137557861.

It is a happy number.

1687557312 is a `hidden beast` number, since 1 + 6 + 8 + 75 + 573 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

Its product of digits (352800) is a multiple of the sum of its prime factors (280).

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 35 ways as a sum of consecutive naturals, for example, 11325814 + ... + 11325962.

Almost surely, 2^1687557312 is an apocalyptic number.

1687557312 is a gapful number since it is divisible by the number (12) 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 1687557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836087800).

1687557312 is an abundant number, since it is smaller than the sum of its proper divisors (3984618288).

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

1687557312 is a wasteful number, since it uses less digits than its factorization.

1687557312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 214 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 1687557312 is about 41079.8893864139. The cubic root of 1687557312 is about 1190.5642669168.

The spelling of 1687557312 in words is "one billion, six hundred eighty-seven million, five hundred fifty-seven thousand, three hundred twelve".