688876225 has 12 divisors (see below), whose sum is σ = 855352620. Its totient is φ = 550361600.

The previous prime is 688876189. The next prime is 688876229. The reversal of 688876225 is 522678886.

It can be written as a sum of positive squares in 6 ways, for example, as 277922241 + 410953984 = 16671^2 + 20272^2 .

It is not a de Polignac number, because 688876225 - 2¹⁷ = 688745153 is a prime.

It is a super-3 number, since 3×688876225³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (688876229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 921 + ... + 37129.

It is an arithmetic number, because the mean of its divisors is an integer number (71279385).

Almost surely, 2^688876225 is an apocalyptic number.

It is an amenable number.

688876225 is a deficient number, since it is larger than the sum of its proper divisors (166476395).

688876225 is a wasteful number, since it uses less digits than its factorization.

688876225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36980 (or 36975 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The square root of 688876225 is about 26246.4516649394. The cubic root of 688876225 is about 883.1756069002.

The spelling of 688876225 in words is "six hundred eighty-eight million, eight hundred seventy-six thousand, two hundred twenty-five".