687849408 has 196 divisors, whose sum is σ = 2138799888. Its totient is φ = 218972160.

The previous prime is 687849401. The next prime is 687849433. The reversal of 687849408 is 804948786.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687849401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1072768 + ... + 1073408.

Almost surely, 2^687849408 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 687849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069399944).

687849408 is an abundant number, since it is smaller than the sum of its proper divisors (1450950480).

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

687849408 is an equidigital number, since it uses as much as digits as its factorization.

687849408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 687849408 is about 26226.8833070192. The cubic root of 687849408 is about 882.7365775330.

The spelling of 687849408 in words is "six hundred eighty-seven million, eight hundred forty-nine thousand, four hundred eight".