68736000 has 176 divisors, whose sum is σ = 229919040. Its totient is φ = 18227200.

The previous prime is 68735987. The next prime is 68736007. The reversal of 68736000 is 63786.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68736007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383911 + ... + 384089.

Almost surely, 2^68736000 is an apocalyptic number.

68736000 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 68736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114959520).

68736000 is an abundant number, since it is smaller than the sum of its proper divisors (161183040).

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

68736000 is a wasteful number, since it uses less digits than its factorization.

68736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 68736000 is about 8290.7177011402. The cubic root of 68736000 is about 409.6328261452.

Adding to 68736000 its reverse (63786), we get a palindrome (68799786).

The spelling of 68736000 in words is "sixty-eight million, seven hundred thirty-six thousand".