68580864 has 240 divisors, whose sum is σ = 228579120. Its totient is φ = 20275200.

The previous prime is 68580859. The next prime is 68580877. The reversal of 68580864 is 46808586.

68580864 is a `hidden beast` number, since 6 + 8 + 580 + 8 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672684 + ... + 1672724.

It is an arithmetic number, because the mean of its divisors is an integer number (952413).

Almost surely, 2^68580864 is an apocalyptic number.

68580864 is a gapful number since it is divisible by the number (64) 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 68580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114289560).

68580864 is an abundant number, since it is smaller than the sum of its proper divisors (159998256).

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

68580864 is a wasteful number, since it uses less digits than its factorization.

68580864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 68580864 is about 8281.3564106371. The cubic root of 68580864 is about 409.3244158620.

The spelling of 68580864 in words is "sixty-eight million, five hundred eighty thousand, eight hundred sixty-four".