68508000 has 288 divisors, whose sum is σ = 266771232. Its totient is φ = 16512000.

The previous prime is 68507993. The next prime is 68508001. The reversal of 68508000 is 80586.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68508001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395914 + ... + 396086.

It is an arithmetic number, because the mean of its divisors is an integer number (926289).

Almost surely, 2^68508000 is an apocalyptic number.

68508000 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 68508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133385616).

68508000 is an abundant number, since it is smaller than the sum of its proper divisors (198263232).

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

68508000 is a wasteful number, since it uses less digits than its factorization.

68508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 68508000 is about 8276.9559621880. The cubic root of 68508000 is about 409.1794017317.

Adding to 68508000 its reverse (80586), we get a palindrome (68588586).

The spelling of 68508000 in words is "sixty-eight million, five hundred eight thousand".