688025568 has 72 divisors (see below), whose sum is σ = 1906222248. Its totient is φ = 217260288.

The previous prime is 688025509. The next prime is 688025573. The reversal of 688025568 is 865520886.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 11 ways as a sum of consecutive naturals, for example, 24730 + ... + 44582.

It is an arithmetic number, because the mean of its divisors is an integer number (26475309).

Almost surely, 2^688025568 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 688025568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953111124).

688025568 is an abundant number, since it is smaller than the sum of its proper divisors (1218196680).

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

688025568 is a wasteful number, since it uses less digits than its factorization.

688025568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19904 (or 19877 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 688025568 is about 26230.2414781107. The cubic root of 688025568 is about 882.8119281358.

The spelling of 688025568 in words is "six hundred eighty-eight million, twenty-five thousand, five hundred sixty-eight".