686934000 has 160 divisors (see below), whose sum is σ = 2460943680. Its totient is φ = 183168000.

The previous prime is 686933981. The next prime is 686934047. The reversal of 686934000 is 439686.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47640 + ... + 60360.

It is an arithmetic number, because the mean of its divisors is an integer number (15380898).

Almost surely, 2^686934000 is an apocalyptic number.

686934000 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 686934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230471840).

686934000 is an abundant number, since it is smaller than the sum of its proper divisors (1774009680).

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

686934000 is a wasteful number, since it uses less digits than its factorization.

686934000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12753 (or 12731 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 686934000 is about 26209.4257853926. The cubic root of 686934000 is about 882.3448140428.

The spelling of 686934000 in words is "six hundred eighty-six million, nine hundred thirty-four thousand".