686112000 has 288 divisors, whose sum is σ = 2607032064. Its totient is φ = 156672000.

The previous prime is 686111981. The next prime is 686112019. The reversal of 686112000 is 211686.

It is an interprime number because it is at equal distance from previous prime (686111981) and next prime (686112019).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 671490 + ... + 672510.

Almost surely, 2^686112000 is an apocalyptic number.

686112000 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 686112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303516032).

686112000 is an abundant number, since it is smaller than the sum of its proper divisors (1920920064).

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

686112000 is a wasteful number, since it uses less digits than its factorization.

686112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 686112000 is about 26193.7397100910. The cubic root of 686112000 is about 881.9927293069.

Adding to 686112000 its reverse (211686), we get a palindrome (686323686).

The spelling of 686112000 in words is "six hundred eighty-six million, one hundred twelve thousand".