687774048 has 96 divisors (see below), whose sum is σ = 1961892576. Its totient is φ = 209707008.

The previous prime is 687774041. The next prime is 687774053. The reversal of 687774048 is 840477786.

687774048 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 2×687774048² = 946066282204612608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687774041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138586 + ... + 143462.

It is an arithmetic number, because the mean of its divisors is an integer number (20436381).

Almost surely, 2^687774048 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 687774048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980946288).

687774048 is an abundant number, since it is smaller than the sum of its proper divisors (1274118528).

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

687774048 is a wasteful number, since it uses less digits than its factorization.

687774048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The square root of 687774048 is about 26225.4465738908. The cubic root of 687774048 is about 882.7043391500.

The spelling of 687774048 in words is "six hundred eighty-seven million, seven hundred seventy-four thousand, forty-eight".