688266960 has 160 divisors (see below), whose sum is σ = 2232238080. Its totient is φ = 175219200.

The previous prime is 688266941. The next prime is 688266967. The reversal of 688266960 is 69662886.

It is a super-2 number, since 2×688266960² = 947422816455283200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688266967) 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, 587175 + ... + 588345.

It is an arithmetic number, because the mean of its divisors is an integer number (13951488).

Almost surely, 2^688266960 is an apocalyptic number.

688266960 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 688266960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116119040).

688266960 is an abundant number, since it is smaller than the sum of its proper divisors (1543971120).

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

688266960 is a wasteful number, since it uses less digits than its factorization.

688266960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 688266960 is about 26234.8424809451. The cubic root of 688266960 is about 882.9151601616.

The spelling of 688266960 in words is "six hundred eighty-eight million, two hundred sixty-six thousand, nine hundred sixty".