686970 has 48 divisors (see below), whose sum is σ = 1895400. Its totient is φ = 172032.

The previous prime is 686969. The next prime is 686971. The reversal of 686970 is 79686.

686970 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (686969) and next prime (686971).

It can be written as a sum of positive squares in 4 ways, for example, as 641601 + 45369 = 801^2 + 213^2 .

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 686970.

It is not an unprimeable number, because it can be changed into a prime (686971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1306 + ... + 1754.

2⁶⁸⁶⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947700).

686970 is an abundant number, since it is smaller than the sum of its proper divisors (1208430).

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

686970 is a wasteful number, since it uses less digits than its factorization.

686970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 686970 is about 828.8365339438. The cubic root of 686970 is about 88.2360227391.

The spelling of 686970 in words is "six hundred eighty-six thousand, nine hundred seventy".