67338000 has 320 divisors, whose sum is σ = 255340800. Its totient is φ = 16934400.

The previous prime is 67337999. The next prime is 67338041. The reversal of 67338000 is 83376.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1565979 + ... + 1566021.

It is an arithmetic number, because the mean of its divisors is an integer number (797940).

Almost surely, 2^67338000 is an apocalyptic number.

67338000 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 67338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

67338000 is an abundant number, since it is smaller than the sum of its proper divisors (188002800).

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

67338000 is a wasteful number, since it uses less digits than its factorization.

67338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 67338000 is about 8205.9734340296. The cubic root of 67338000 is about 406.8366514432.

The spelling of 67338000 in words is "sixty-seven million, three hundred thirty-eight thousand".