688260096 has 264 divisors, whose sum is σ = 2207222784. Its totient is φ = 205455360.

The previous prime is 688260077. The next prime is 688260101. The reversal of 688260096 is 690062886.

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, 3603361 + ... + 3603551.

Almost surely, 2^688260096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103611392).

688260096 is an abundant number, since it is smaller than the sum of its proper divisors (1518962688).

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

688260096 is a wasteful number, since it uses less digits than its factorization.

688260096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 688260096 is about 26234.7116622234. The cubic root of 688260096 is about 882.9122250845.

The spelling of 688260096 in words is "six hundred eighty-eight million, two hundred sixty thousand, ninety-six".