68517000 has 192 divisors, whose sum is σ = 242386560. Its totient is φ = 17424000.

The previous prime is 68516963. The next prime is 68517011. The reversal of 68517000 is 71586.

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 47 ways as a sum of consecutive naturals, for example, 206835 + ... + 207165.

It is an arithmetic number, because the mean of its divisors is an integer number (1262430).

Almost surely, 2^68517000 is an apocalyptic number.

68517000 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 68517000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121193280).

68517000 is an abundant number, since it is smaller than the sum of its proper divisors (173869560).

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

68517000 is a wasteful number, since it uses less digits than its factorization.

68517000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 68517000 is about 8277.4996224705. The cubic root of 68517000 is about 409.1973191203.

Adding to 68517000 its reverse (71586), we get a palindrome (68588586).

The spelling of 68517000 in words is "sixty-eight million, five hundred seventeen thousand".