688929696 has 288 divisors, whose sum is σ = 2445101568. Its totient is φ = 179159040.

The previous prime is 688929671. The next prime is 688929697. The reversal of 688929696 is 696929886.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (688929697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2542041 + ... + 2542311.

It is an arithmetic number, because the mean of its divisors is an integer number (8489936).

Almost surely, 2^688929696 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 688929696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222550784).

688929696 is an abundant number, since it is smaller than the sum of its proper divisors (1756171872).

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

688929696 is a wasteful number, since it uses less digits than its factorization.

688929696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The square root of 688929696 is about 26247.4702781049. The cubic root of 688929696 is about 883.1984571885.

It can be divided in two parts, 6889 and 29696, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 688929696 in words is "six hundred eighty-eight million, nine hundred twenty-nine thousand, six hundred ninety-six".