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BaseRepresentation
bin1000001001101…
…11101111100000
311202200100121221
410010313233200
5120001321020
610441424424
71460161252
oct404675740
9152610557
1068385760
1135669263
121aa9b114
1311224b61
149121cd2
15600c6aa
hex4137be0

68385760 has 48 divisors (see below), whose sum is σ = 162249696. Its totient is φ = 27237888.

The previous prime is 68385749. The next prime is 68385763. The reversal of 68385760 is 6758386.

It is a super-2 number, since 2×683857602 = 9353224341555200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68385763) 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 7 ways as a sum of consecutive naturals, for example, 43549 + ... + 45091.

It is an arithmetic number, because the mean of its divisors is an integer number (3380202).

Almost surely, 268385760 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 68385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81124848).

68385760 is an abundant number, since it is smaller than the sum of its proper divisors (93863936).

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

68385760 is a wasteful number, since it uses less digits than its factorization.

68385760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 68385760 is about 8269.5683079590. The cubic root of 68385760 is about 408.9358882298.

The spelling of 68385760 in words is "sixty-eight million, three hundred eighty-five thousand, seven hundred sixty".