686334000 has 160 divisors (see below), whose sum is σ = 2414131200. Its totient is φ = 166368000.

The previous prime is 686333993. The next prime is 686334001. The reversal of 686334000 is 433686.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (686334001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60801 + ... + 71199.

It is an arithmetic number, because the mean of its divisors is an integer number (15088320).

Almost surely, 2^686334000 is an apocalyptic number.

686334000 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 686334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207065600).

686334000 is an abundant number, since it is smaller than the sum of its proper divisors (1727797200).

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

686334000 is a wasteful number, since it uses less digits than its factorization.

686334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10436 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 686334000 is about 26197.9770211366. The cubic root of 686334000 is about 882.0878455910.

Adding to 686334000 its reverse (433686), we get a palindrome (686767686).

The spelling of 686334000 in words is "six hundred eighty-six million, three hundred thirty-four thousand".