687253248 has 360 divisors, whose sum is σ = 2350567296. Its totient is φ = 197683200.

The previous prime is 687253241. The next prime is 687253249. The reversal of 687253248 is 842352786.

687253248 is a `hidden beast` number, since 6 + 8 + 72 + 532 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687253241) 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 39 ways as a sum of consecutive naturals, for example, 5246143 + ... + 5246273.

Almost surely, 2^687253248 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 687253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175283648).

687253248 is an abundant number, since it is smaller than the sum of its proper divisors (1663314048).

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

687253248 is a wasteful number, since it uses less digits than its factorization.

687253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 687253248 is about 26215.5154059576. The cubic root of 687253248 is about 882.4814808313.

The spelling of 687253248 in words is "six hundred eighty-seven million, two hundred fifty-three thousand, two hundred forty-eight".