686920800 has 144 divisors (see below), whose sum is σ = 2264855040. Its totient is φ = 180810240.

The previous prime is 686920781. The next prime is 686920831. The reversal of 686920800 is 8029686.

It is a congruent number.

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, 187789 + ... + 191411.

It is an arithmetic number, because the mean of its divisors is an integer number (15728160).

Almost surely, 2^686920800 is an apocalyptic number.

686920800 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 686920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132427520).

686920800 is an abundant number, since it is smaller than the sum of its proper divisors (1577934240).

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

686920800 is a wasteful number, since it uses less digits than its factorization.

686920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 686920800 is about 26209.1739663806. The cubic root of 686920800 is about 882.3391623469.

The spelling of 686920800 in words is "six hundred eighty-six million, nine hundred twenty thousand, eight hundred".