68580000 has 240 divisors, whose sum is σ = 251919360. Its totient is φ = 18144000.

The previous prime is 68579999. The next prime is 68580011. The reversal of 68580000 is 8586.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539937 + ... + 540063.

It is an arithmetic number, because the mean of its divisors is an integer number (1049664).

Almost surely, 2^68580000 is an apocalyptic number.

68580000 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 68580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125959680).

68580000 is an abundant number, since it is smaller than the sum of its proper divisors (183339360).

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

68580000 is a wasteful number, since it uses less digits than its factorization.

68580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 68580000 is about 8281.3042451054. The cubic root of 68580000 is about 409.3226969288.

Adding to 68580000 its reverse (8586), we get a palindrome (68588586).

The spelling of 68580000 in words is "sixty-eight million, five hundred eighty thousand".