688995360 has 288 divisors, whose sum is σ = 2496469248. Its totient is φ = 172677120.

The previous prime is 688995353. The next prime is 688995361. The reversal of 688995360 is 63599886.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×688995360² = 949429212203059200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 688995297 and 688995306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688995361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351374 + ... + 2351666.

It is an arithmetic number, because the mean of its divisors is an integer number (8668296).

Almost surely, 2^688995360 is an apocalyptic number.

688995360 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 688995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248234624).

688995360 is an abundant number, since it is smaller than the sum of its proper divisors (1807473888).

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

688995360 is a wasteful number, since it uses less digits than its factorization.

688995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 688995360 is about 26248.7211117037. The cubic root of 688995360 is about 883.2265164140.

The spelling of 688995360 in words is "six hundred eighty-eight million, nine hundred ninety-five thousand, three hundred sixty".