67068000 has 336 divisors, whose sum is σ = 257808096. Its totient is φ = 17107200.

The previous prime is 67067999. The next prime is 67068017. The reversal of 67068000 is 86076.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2915989 + ... + 2916011.

It is an arithmetic number, because the mean of its divisors is an integer number (767286).

Almost surely, 2^67068000 is an apocalyptic number.

67068000 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 67068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128904048).

67068000 is an abundant number, since it is smaller than the sum of its proper divisors (190740096).

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

67068000 is an equidigital number, since it uses as much as digits as its factorization.

67068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 67068000 is about 8189.5054795757. The cubic root of 67068000 is about 406.2921691927.

It can be divided in two parts, 6706 and 8000, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 67068000 in words is "sixty-seven million, sixty-eight thousand".