687360576 has 112 divisors (see below), whose sum is σ = 2095333376. Its totient is φ = 194793984.

The previous prime is 687360559. The next prime is 687360577. The reversal of 687360576 is 675063786.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×687360576² = 944929122878103552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (687360577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168675 + ... + 172701.

Almost surely, 2^687360576 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 687360576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047666688).

687360576 is an abundant number, since it is smaller than the sum of its proper divisors (1407972800).

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

687360576 is a wasteful number, since it uses less digits than its factorization.

687360576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 687360576 is about 26217.5623580836. The cubic root of 687360576 is about 882.5274173390.

The spelling of 687360576 in words is "six hundred eighty-seven million, three hundred sixty thousand, five hundred seventy-six".