1687993248 has 96 divisors (see below), whose sum is σ = 4487616000. Its totient is φ = 555528960.

The previous prime is 1687993201. The next prime is 1687993249. The reversal of 1687993248 is 8423997861.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1687993249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3382503 + ... + 3383001.

It is an arithmetic number, because the mean of its divisors is an integer number (46746000).

Almost surely, 2^1687993248 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 1687993248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243808000).

1687993248 is an abundant number, since it is smaller than the sum of its proper divisors (2799622752).

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

1687993248 is a wasteful number, since it uses less digits than its factorization.

1687993248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 1687993248 is about 41085.1949977118. The cubic root of 1687993248 is about 1190.6667750679. Note that the first 3 decimals are identical.

The spelling of 1687993248 in words is "one billion, six hundred eighty-seven million, nine hundred ninety-three thousand, two hundred forty-eight".