686112768 has 300 divisors, whose sum is σ = 2283728832. Its totient is φ = 203489280.

The previous prime is 686112761. The next prime is 686112799. The reversal of 686112768 is 867211686.

It is a happy number.

686112768 is a `hidden beast` number, since 6 + 8 + 611 + 27 + 6 + 8 = 666.

Its product of digits (193536) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686112761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14598121 + ... + 14598167.

Almost surely, 2^686112768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141864416).

686112768 is an abundant number, since it is smaller than the sum of its proper divisors (1597616064).

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

686112768 is an equidigital number, since it uses as much as digits as its factorization.

686112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 686112768 is about 26193.7543700784. The cubic root of 686112768 is about 881.9930583932.

The spelling of 686112768 in words is "six hundred eighty-six million, one hundred twelve thousand, seven hundred sixty-eight".