686505600 has 432 divisors, whose sum is σ = 2706213510. Its totient is φ = 165580800.

The previous prime is 686505583. The next prime is 686505613. The reversal of 686505600 is 6505686.

It can be written as a sum of positive squares in 3 ways, for example, as 655769664 + 30735936 = 25608^2 + 5544^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3484702 + ... + 3484898.

Almost surely, 2^686505600 is an apocalyptic number.

686505600 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 686505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353106755).

686505600 is an abundant number, since it is smaller than the sum of its proper divisors (2019707910).

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

686505600 is a wasteful number, since it uses less digits than its factorization.

686505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 686505600 is about 26201.2518784886. The cubic root of 686505600 is about 882.1613538542.

The spelling of 686505600 in words is "six hundred eighty-six million, five hundred five thousand, six hundred".