687464960 has 240 divisors, whose sum is σ = 2048815296. Its totient is φ = 216612864.

The previous prime is 687464933. The next prime is 687465001. The reversal of 687464960 is 69464786.

It is a super-3 number, since 3×687464960³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 687464899 and 687464908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3028367 + ... + 3028593.

Almost surely, 2^687464960 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 687464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024407648).

687464960 is an abundant number, since it is smaller than the sum of its proper divisors (1361350336).

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

687464960 is a wasteful number, since it uses less digits than its factorization.

687464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The square root of 687464960 is about 26219.5530091571. The cubic root of 687464960 is about 882.5720892246.

The spelling of 687464960 in words is "six hundred eighty-seven million, four hundred sixty-four thousand, nine hundred sixty".