68586560 has 112 divisors (see below), whose sum is σ = 189853824. Its totient is φ = 23113728.

The previous prime is 68586559. The next prime is 68586569. The reversal of 68586560 is 6568586.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (68586569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149852 + ... + 150308.

Almost surely, 2^68586560 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 68586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94926912).

68586560 is an abundant number, since it is smaller than the sum of its proper divisors (121267264).

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

68586560 is a wasteful number, since it uses less digits than its factorization.

68586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 68586560 is about 8281.7003085115. The cubic root of 68586560 is about 409.3357477273.

The spelling of 68586560 in words is "sixty-eight million, five hundred eighty-six thousand, five hundred sixty".