68090000 has 100 divisors (see below), whose sum is σ = 180129840. Its totient is φ = 24720000.

The previous prime is 68089993. The next prime is 68090017. The reversal of 68090000 is 9086.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109691 + ... + 110309.

Almost surely, 2^68090000 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 68090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90064920).

68090000 is an abundant number, since it is smaller than the sum of its proper divisors (112039840).

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

68090000 is a wasteful number, since it uses less digits than its factorization.

68090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 68090000 is about 8251.6664983505. Note that the first 3 decimals coincide. The cubic root of 68090000 is about 408.3455038253.

Adding to 68090000 its reverse (9086), we get a palindrome (68099086).

The spelling of 68090000 in words is "sixty-eight million, ninety thousand".