686433000 has 384 divisors, whose sum is σ = 2469841920. Its totient is φ = 158400000.

The previous prime is 686432993. The next prime is 686433071. The reversal of 686433000 is 334686.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 11252970 + ... + 11253030.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^686433000 is an apocalyptic number.

686433000 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 686433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234920960).

686433000 is an abundant number, since it is smaller than the sum of its proper divisors (1783408920).

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

686433000 is a wasteful number, since it uses less digits than its factorization.

686433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 686433000 is about 26199.8664118732. The cubic root of 686433000 is about 882.1302556995.

Adding to 686433000 its reverse (334686), we get a palindrome (686767686).

The spelling of 686433000 in words is "six hundred eighty-six million, four hundred thirty-three thousand".