688242618 has 96 divisors (see below), whose sum is σ = 1746800640. Its totient is φ = 191792160.

The previous prime is 688242617. The next prime is 688242619. The reversal of 688242618 is 816242886.

688242618 is a `hidden beast` number, since 6 + 8 + 8 + 24 + 2 + 618 = 666.

It is an interprime number because it is at equal distance from previous prime (688242617) and next prime (688242619).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (688242617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956863 + ... + 957581.

It is an arithmetic number, because the mean of its divisors is an integer number (18195840).

Almost surely, 2^688242618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688242618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873400320).

688242618 is an abundant number, since it is smaller than the sum of its proper divisors (1058558022).

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

688242618 is a wasteful number, since it uses less digits than its factorization.

688242618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 909 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 688242618 is about 26234.3785518163. The cubic root of 688242618 is about 882.9047513253.

The spelling of 688242618 in words is "six hundred eighty-eight million, two hundred forty-two thousand, six hundred eighteen".