68121760 has 72 divisors (see below), whose sum is σ = 187234740. Its totient is φ = 23353344.

The previous prime is 68121749. The next prime is 68121763. The reversal of 68121760 is 6712186.

It can be written as a sum of positive squares in 2 ways, for example, as 66389904 + 1731856 = 8148^2 + 1316^2 .

It is not an unprimeable number, because it can be changed into a prime (68121763) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3496 + ... + 12184.

Almost surely, 2^68121760 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 68121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93617370).

68121760 is an abundant number, since it is smaller than the sum of its proper divisors (119112980).

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

68121760 is a wasteful number, since it uses less digits than its factorization.

68121760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 68121760 is about 8253.5907337352. The cubic root of 68121760 is about 408.4089837161.

The spelling of 68121760 in words is "sixty-eight million, one hundred twenty-one thousand, seven hundred sixty".