687481344 has 300 divisors, whose sum is σ = 2271913182. Its totient is φ = 206807040.

The previous prime is 687481331. The next prime is 687481363. The reversal of 687481344 is 443184786.

It can be written as a sum of positive squares in only one way, i.e., 564537600 + 122943744 = 23760^2 + 11088^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 687481344.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5018044 + ... + 5018180.

Almost surely, 2^687481344 is an apocalyptic number.

687481344 is a gapful number since it is divisible by the number (64) 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 687481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135956591).

687481344 is an abundant number, since it is smaller than the sum of its proper divisors (1584431838).

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

687481344 is a wasteful number, since it uses less digits than its factorization.

687481344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 153 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 687481344 is about 26219.8654458790. The cubic root of 687481344 is about 882.5791004649.

The spelling of 687481344 in words is "six hundred eighty-seven million, four hundred eighty-one thousand, three hundred forty-four".