687441456 has 120 divisors (see below), whose sum is σ = 2085960240. Its totient is φ = 210083328.

The previous prime is 687441409. The next prime is 687441479. The reversal of 687441456 is 654144786.

687441456 = 210³ + 211³ + ... + 261³.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 292735 + ... + 295073.

It is an arithmetic number, because the mean of its divisors is an integer number (17383002).

Almost surely, 2^687441456 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 687441456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042980120).

687441456 is an abundant number, since it is smaller than the sum of its proper divisors (1398518784).

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

687441456 is a wasteful number, since it uses less digits than its factorization.

687441456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2514 counting only the distinct ones).

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

The square root of 687441456 is about 26219.1047902098. The cubic root of 687441456 is about 882.5620309127.

The spelling of 687441456 in words is "six hundred eighty-seven million, four hundred forty-one thousand, four hundred fifty-six".