688361544 has 128 divisors (see below), whose sum is σ = 2107459200. Its totient is φ = 206841600.

The previous prime is 688361519. The next prime is 688361573. The reversal of 688361544 is 445163886.

It is a self number, because there is not a number n which added to its sum of digits gives 688361544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117894 + ... + 123594.

It is an arithmetic number, because the mean of its divisors is an integer number (16464525).

Almost surely, 2^688361544 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 688361544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053729600).

688361544 is an abundant number, since it is smaller than the sum of its proper divisors (1419097656).

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

688361544 is a wasteful number, since it uses less digits than its factorization.

688361544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 5762 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 688361544 is about 26236.6450599157. The cubic root of 688361544 is about 882.9556027162.

The spelling of 688361544 in words is "six hundred eighty-eight million, three hundred sixty-one thousand, five hundred forty-four".