686069400 has 144 divisors (see below), whose sum is σ = 2191812840. Its totient is φ = 177420800.

The previous prime is 686069399. The next prime is 686069411. The reversal of 686069400 is 4960686.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4108117 + ... + 4108283.

Almost surely, 2^686069400 is an apocalyptic number.

686069400 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 686069400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095906420).

686069400 is an abundant number, since it is smaller than the sum of its proper divisors (1505743440).

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

686069400 is a wasteful number, since it uses less digits than its factorization.

686069400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 686069400 is about 26192.9265260681. The cubic root of 686069400 is about 881.9744749170.

The spelling of 686069400 in words is "six hundred eighty-six million, sixty-nine thousand, four hundred".