68586720 has 96 divisors (see below), whose sum is σ = 221139072. Its totient is φ = 17859072.

The previous prime is 68586719. The next prime is 68586737. The reversal of 68586720 is 2768586.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18979 + ... + 22301.

It is an arithmetic number, because the mean of its divisors is an integer number (2303532).

Almost surely, 2^68586720 is an apocalyptic number.

68586720 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 68586720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110569536).

68586720 is an abundant number, since it is smaller than the sum of its proper divisors (152552352).

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

68586720 is a wasteful number, since it uses less digits than its factorization.

68586720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 68586720 is about 8281.7099683580. The cubic root of 68586720 is about 409.3360660290.

The spelling of 68586720 in words is "sixty-eight million, five hundred eighty-six thousand, seven hundred twenty".