686332416 has 240 divisors, whose sum is σ = 2323110240. Its totient is φ = 178053120.

The previous prime is 686332391. The next prime is 686332429. The reversal of 686332416 is 614233686.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827490 + ... + 828318.

It is an arithmetic number, because the mean of its divisors is an integer number (9679626).

Almost surely, 2^686332416 is an apocalyptic number.

686332416 is a gapful number since it is divisible by the number (66) 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 686332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161555120).

686332416 is an abundant number, since it is smaller than the sum of its proper divisors (1636777824).

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

686332416 is a wasteful number, since it uses less digits than its factorization.

686332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 852 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 686332416 is about 26197.9467897772. The cubic root of 686332416 is about 882.0871669961.

The spelling of 686332416 in words is "six hundred eighty-six million, three hundred thirty-two thousand, four hundred sixteen".