687923544 has 256 divisors, whose sum is σ = 2239488000. Its totient is φ = 174518400.

The previous prime is 687923477. The next prime is 687923569. The reversal of 687923544 is 445329786.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 687923493 and 687923502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6429139 + ... + 6429245.

It is an arithmetic number, because the mean of its divisors is an integer number (8748000).

Almost surely, 2^687923544 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 687923544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119744000).

687923544 is an abundant number, since it is smaller than the sum of its proper divisors (1551564456).

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

687923544 is a wasteful number, since it uses less digits than its factorization.

687923544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 687923544 is about 26228.2966278788. The cubic root of 687923544 is about 882.7682900015.

The spelling of 687923544 in words is "six hundred eighty-seven million, nine hundred twenty-three thousand, five hundred forty-four".