688601225 has 24 divisors (see below), whose sum is σ = 922987800. Its totient is φ = 506603520.

The previous prime is 688601219. The next prime is 688601227. The reversal of 688601225 is 522106886.

It can be written as a sum of positive squares in 12 ways, for example, as 596287561 + 92313664 = 24419^2 + 9608^2 .

It is not a de Polignac number, because 688601225 - 2¹⁸ = 688339081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (688601227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86201 + ... + 93849.

It is an arithmetic number, because the mean of its divisors is an integer number (38457825).

Almost surely, 2^688601225 is an apocalyptic number.

688601225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

688601225 is a deficient number, since it is larger than the sum of its proper divisors (234386575).

688601225 is a wasteful number, since it uses less digits than its factorization.

688601225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7949 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 688601225 is about 26241.2123386097. The cubic root of 688601225 is about 883.0580697633.

The spelling of 688601225 in words is "six hundred eighty-eight million, six hundred one thousand, two hundred twenty-five".