686882520 has 96 divisors (see below), whose sum is σ = 2236993200. Its totient is φ = 182789376.

The previous prime is 686882513. The next prime is 686882527. The reversal of 686882520 is 25288686.

686882520 is a `hidden beast` number, since 68 + 68 + 8 + 2 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (686882513) and next prime (686882527).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686882527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200986 + ... + 204374.

Almost surely, 2^686882520 is an apocalyptic number.

686882520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686882520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118496600).

686882520 is an abundant number, since it is smaller than the sum of its proper divisors (1550110680).

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

686882520 is a wasteful number, since it uses less digits than its factorization.

686882520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 686882520 is about 26208.4436775632. The cubic root of 686882520 is about 882.3227720195.

The spelling of 686882520 in words is "six hundred eighty-six million, eight hundred eighty-two thousand, five hundred twenty".