687638112 has 192 divisors, whose sum is σ = 2155507200. Its totient is φ = 187858944.

The previous prime is 687638099. The next prime is 687638113. The reversal of 687638112 is 211836786.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687638113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1531264 + ... + 1531712.

It is an arithmetic number, because the mean of its divisors is an integer number (11226600).

Almost surely, 2^687638112 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 687638112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077753600).

687638112 is an abundant number, since it is smaller than the sum of its proper divisors (1467869088).

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

687638112 is a wasteful number, since it uses less digits than its factorization.

687638112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 557 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 687638112 is about 26222.8547644988. The cubic root of 687638112 is about 882.6461809009.

The spelling of 687638112 in words is "six hundred eighty-seven million, six hundred thirty-eight thousand, one hundred twelve".