688460256 has 192 divisors, whose sum is σ = 2214293760. Its totient is φ = 206369280.

The previous prime is 688460251. The next prime is 688460327. The reversal of 688460256 is 652064886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688460251) 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, 1016590 + ... + 1017266.

It is an arithmetic number, because the mean of its divisors is an integer number (11532780).

Almost surely, 2^688460256 is an apocalyptic number.

688460256 is a gapful number since it is divisible by the number (66) 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 688460256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107146880).

688460256 is an abundant number, since it is smaller than the sum of its proper divisors (1525833504).

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

688460256 is a wasteful number, since it uses less digits than its factorization.

688460256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 688460256 is about 26238.5261781221. The cubic root of 688460256 is about 882.9978063849.

The spelling of 688460256 in words is "six hundred eighty-eight million, four hundred sixty thousand, two hundred fifty-six".