687466368 has 96 divisors (see below), whose sum is σ = 2020505760. Its totient is φ = 224262144.

The previous prime is 687466319. The next prime is 687466391. The reversal of 687466368 is 863664786.

687466368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×687466368² = 945220014262222848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47796 + ... + 60492.

It is an arithmetic number, because the mean of its divisors is an integer number (21046935).

Almost surely, 2^687466368 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 687466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010252880).

687466368 is an abundant number, since it is smaller than the sum of its proper divisors (1333039392).

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

687466368 is a wasteful number, since it uses less digits than its factorization.

687466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12764 (or 12749 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 687466368 is about 26219.5798593341. The cubic root of 687466368 is about 882.5726917574.

The spelling of 687466368 in words is "six hundred eighty-seven million, four hundred sixty-six thousand, three hundred sixty-eight".