688040496 has 120 divisors (see below), whose sum is σ = 2262261456. Its totient is φ = 192453120.

The previous prime is 688040491. The next prime is 688040513. The reversal of 688040496 is 694040886.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (688040491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3886 + ... + 37298.

Almost surely, 2^688040496 is an apocalyptic number.

688040496 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 688040496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131130728).

688040496 is an abundant number, since it is smaller than the sum of its proper divisors (1574220960).

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

688040496 is a wasteful number, since it uses less digits than its factorization.

688040496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33451 (or 33442 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 688040496 is about 26230.5260336121. The cubic root of 688040496 is about 882.8183128409.

The spelling of 688040496 in words is "six hundred eighty-eight million, forty thousand, four hundred ninety-six".