688546650 has 96 divisors (see below), whose sum is σ = 1893646656. Its totient is φ = 164160000.

The previous prime is 688546633. The next prime is 688546667. The reversal of 688546650 is 56645886.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (688546633) and next prime (688546667).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 688546650.

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 47 ways as a sum of consecutive naturals, for example, 97230 + ... + 104070.

It is an arithmetic number, because the mean of its divisors is an integer number (19725486).

Almost surely, 2^688546650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688546650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946823328).

688546650 is an abundant number, since it is smaller than the sum of its proper divisors (1205100006).

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

688546650 is a wasteful number, since it uses less digits than its factorization.

688546650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 688546650 is about 26240.1724460797. The cubic root of 688546650 is about 883.0347402631.

It can be divided in two parts, 6885 and 46650, that added together give a palindrome (53535).

The spelling of 688546650 in words is "six hundred eighty-eight million, five hundred forty-six thousand, six hundred fifty".