686842416 has 240 divisors, whose sum is σ = 2183860224. Its totient is φ = 207712512.

The previous prime is 686842369. The next prime is 686842421. The reversal of 686842416 is 614248686.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5408145 + ... + 5408271.

Almost surely, 2^686842416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686842416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091930112).

686842416 is an abundant number, since it is smaller than the sum of its proper divisors (1497017808).

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

686842416 is a wasteful number, since it uses less digits than its factorization.

686842416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 686842416 is about 26207.6785694575. The cubic root of 686842416 is about 882.3056000577.

It can be divided in two parts, 6868 and 42416, that added together give a square (49284 = 222²).

The spelling of 686842416 in words is "six hundred eighty-six million, eight hundred forty-two thousand, four hundred sixteen".