688977 has 12 divisors (see below), whose sum is σ = 1022580. Its totient is φ = 446688.

The previous prime is 688969. The next prime is 688979. The reversal of 688977 is 779886.

It can be written as a sum of positive squares in 2 ways, for example, as 370881 + 318096 = 609^2 + 564^2 .

It is not a de Polignac number, because 688977 - 2³ = 688969 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688977.

It is not an unprimeable number, because it can be changed into a prime (688979) 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, 702 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (85215).

2⁶⁸⁸⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

688977 is a deficient number, since it is larger than the sum of its proper divisors (333603).

688977 is a wasteful number, since it uses less digits than its factorization.

688977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2109 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 688977 is about 830.0463842461. The cubic root of 688977 is about 88.3218671086.

Subtracting 688977 from its reverse (779886), we obtain a palindrome (90909).

It can be divided in two parts, 68 and 8977, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 688977 in words is "six hundred eighty-eight thousand, nine hundred seventy-seven".