686445120 has 336 divisors, whose sum is σ = 2531498112. Its totient is φ = 170311680.

The previous prime is 686445107. The next prime is 686445161. The reversal of 686445120 is 21544686.

686445120 is a `hidden beast` number, since 6 + 8 + 644 + 5 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2848200 + ... + 2848440.

Almost surely, 2^686445120 is an apocalyptic number.

686445120 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 686445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265749056).

686445120 is an abundant number, since it is smaller than the sum of its proper divisors (1845052992).

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

686445120 is a wasteful number, since it uses less digits than its factorization.

686445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 686445120 is about 26200.0977097415. The cubic root of 686445120 is about 882.1354474447.

It can be divided in two parts, 6864 and 45120, that added together give a square (51984 = 228²).

The spelling of 686445120 in words is "six hundred eighty-six million, four hundred forty-five thousand, one hundred twenty".