68386500 has 288 divisors, whose sum is σ = 267111936. Its totient is φ = 14342400.

The previous prime is 68386481. The next prime is 68386517. The reversal of 68386500 is 568386.

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

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, 409417 + ... + 409583.

It is an arithmetic number, because the mean of its divisors is an integer number (927472).

Almost surely, 2^68386500 is an apocalyptic number.

68386500 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 68386500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133555968).

68386500 is an abundant number, since it is smaller than the sum of its proper divisors (198725436).

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

68386500 is a wasteful number, since it uses less digits than its factorization.

68386500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 68386500 is about 8269.6130501977. The cubic root of 68386500 is about 408.9373632516.

It can be divided in two parts, 68386 and 500, that added together give a palindrome (68886).

The spelling of 68386500 in words is "sixty-eight million, three hundred eighty-six thousand, five hundred".