688445268 has 192 divisors, whose sum is σ = 1994872320. Its totient is φ = 180633600.

The previous prime is 688445257. The next prime is 688445279. The reversal of 688445268 is 862544886.

It is an interprime number because it is at equal distance from previous prime (688445257) and next prime (688445279).

Its product of digits (2949120) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 688445268.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6092380 + ... + 6092492.

It is an arithmetic number, because the mean of its divisors is an integer number (10389960).

Almost surely, 2^688445268 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 688445268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997436160).

688445268 is an abundant number, since it is smaller than the sum of its proper divisors (1306427052).

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

688445268 is a wasteful number, since it uses less digits than its factorization.

688445268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 51.

The square root of 688445268 is about 26238.2405660136. The cubic root of 688445268 is about 882.9913986235.

The spelling of 688445268 in words is "six hundred eighty-eight million, four hundred forty-five thousand, two hundred sixty-eight".