688187552 has 48 divisors (see below), whose sum is σ = 1480927392. Its totient is φ = 312871680.

The previous prime is 688187551. The next prime is 688187561. The reversal of 688187552 is 255781886.

It is a self number, because there is not a number n which added to its sum of digits gives 688187552.

It is not an unprimeable number, because it can be changed into a prime (688187551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15527 + ... + 40217.

It is an arithmetic number, because the mean of its divisors is an integer number (30852654).

Almost surely, 2^688187552 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 688187552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740463696).

688187552 is an abundant number, since it is smaller than the sum of its proper divisors (792739840).

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

688187552 is a wasteful number, since it uses less digits than its factorization.

688187552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24781 (or 24773 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 50.

The square root of 688187552 is about 26233.3290300717. The cubic root of 688187552 is about 882.8812037524.

The spelling of 688187552 in words is "six hundred eighty-eight million, one hundred eighty-seven thousand, five hundred fifty-two".