68544000 has 480 divisors, whose sum is σ = 298748736. Its totient is φ = 14745600.

The previous prime is 68543989. The next prime is 68544011. The reversal of 68544000 is 44586.

It is an interprime number because it is at equal distance from previous prime (68543989) and next prime (68544011).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4031992 + ... + 4032008.

Almost surely, 2^68544000 is an apocalyptic number.

68544000 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 68544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149374368).

68544000 is an abundant number, since it is smaller than the sum of its proper divisors (230204736).

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

68544000 is a wasteful number, since it uses less digits than its factorization.

68544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 68544000 is about 8279.1303891170. The cubic root of 68544000 is about 409.2510618736.

Adding to 68544000 its reverse (44586), we get a palindrome (68588586).

The spelling of 68544000 in words is "sixty-eight million, five hundred forty-four thousand".