688361552 has 40 divisors (see below), whose sum is σ = 1418148072. Its totient is φ = 322560000.

The previous prime is 688361519. The next prime is 688361573. The reversal of 688361552 is 255163886.

It can be written as a sum of positive squares in 4 ways, for example, as 198359056 + 490002496 = 14084^2 + 22136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60302 + ... + 70802.

Almost surely, 2^688361552 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 688361552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709074036).

688361552 is an abundant number, since it is smaller than the sum of its proper divisors (729786520).

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

688361552 is a wasteful number, since it uses less digits than its factorization.

688361552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10767 (or 10761 counting only the distinct ones).

The product of its digits is 345600, while the sum is 44.

The square root of 688361552 is about 26236.6452123742. The cubic root of 688361552 is about 882.9556061367.

The spelling of 688361552 in words is "six hundred eighty-eight million, three hundred sixty-one thousand, five hundred fifty-two".