688332645 has 288 divisors, whose sum is σ = 1702995840. Its totient is φ = 252564480.

The previous prime is 688332637. The next prime is 688332647. The reversal of 688332645 is 546233886.

It is a happy number.

688332645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 688332645 - 2³ = 688332637 is a prime.

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 a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (829440) is a multiple of the sum of its prime divisors (135).

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 688332645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688332647) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11666626 + ... + 11666684.

It is an arithmetic number, because the mean of its divisors is an integer number (5913180).

Almost surely, 2^688332645 is an apocalyptic number.

688332645 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

688332645 is an abundant number, since it is smaller than the sum of its proper divisors (1014663195).

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

688332645 is a wasteful number, since it uses less digits than its factorization.

688332645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 688332645 is about 26236.0943167995. The cubic root of 688332645 is about 882.9432463747.

It can be divided in two parts, 688 and 332645, that added together give a palindrome (333333).

The spelling of 688332645 in words is "six hundred eighty-eight million, three hundred thirty-two thousand, six hundred forty-five".