688522560 has 224 divisors, whose sum is σ = 2410065792. Its totient is φ = 165150720.

The previous prime is 688522543. The next prime is 688522567. The reversal of 688522560 is 65225886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688522567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1192992 + ... + 1193568.

Almost surely, 2^688522560 is an apocalyptic number.

688522560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205032896).

688522560 is an abundant number, since it is smaller than the sum of its proper divisors (1721543232).

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

688522560 is a wasteful number, since it uses less digits than its factorization.

688522560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 688522560 is about 26239.7134130691. The cubic root of 688522560 is about 883.0244419751.

The spelling of 688522560 in words is "six hundred eighty-eight million, five hundred twenty-two thousand, five hundred sixty".