68653000 has 64 divisors (see below), whose sum is σ = 173038320. Its totient is φ = 25344000.

The previous prime is 68652979. The next prime is 68653001. The reversal of 68653000 is 35686.

It can be written as a sum of positive squares in 8 ways, for example, as 3334276 + 65318724 = 1826^2 + 8082^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 68653000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68653001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10360 + ... + 15640.

Almost surely, 2^68653000 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 68653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86519160).

68653000 is an abundant number, since it is smaller than the sum of its proper divisors (104385320).

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

68653000 is a wasteful number, since it uses less digits than its factorization.

68653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 68653000 is about 8285.7105911322. The cubic root of 68653000 is about 409.4678799803.

Adding to 68653000 its reverse (35686), we get a palindrome (68688686).

The spelling of 68653000 in words is "sixty-eight million, six hundred fifty-three thousand".