688278096 has 120 divisors (see below), whose sum is σ = 2109927456. Its totient is φ = 207717120.

The previous prime is 688278077. The next prime is 688278121. The reversal of 688278096 is 690872886.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463371 + ... + 464853.

Almost surely, 2^688278096 is an apocalyptic number.

688278096 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 688278096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054963728).

688278096 is an abundant number, since it is smaller than the sum of its proper divisors (1421649360).

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

688278096 is a wasteful number, since it uses less digits than its factorization.

688278096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 688278096 is about 26235.0547169241. The cubic root of 688278096 is about 882.9199219235.

It can be divided in two parts, 688 and 278096, that added together give a square (278784 = 528²).

The spelling of 688278096 in words is "six hundred eighty-eight million, two hundred seventy-eight thousand, ninety-six".