67284000 has 384 divisors, whose sum is σ = 283046400. Its totient is φ = 15206400.

The previous prime is 67283999. The next prime is 67284001. The reversal of 67284000 is 48276.

It is an interprime number because it is at equal distance from previous prime (67283999) and next prime (67284001).

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

It is not an unprimeable number, because it can be changed into a prime (67284001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755956 + ... + 756044.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^67284000 is an apocalyptic number.

67284000 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 67284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

67284000 is an abundant number, since it is smaller than the sum of its proper divisors (215762400).

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

67284000 is a wasteful number, since it uses less digits than its factorization.

67284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 67284000 is about 8202.6824880645. The cubic root of 67284000 is about 406.7278715846.

The spelling of 67284000 in words is "sixty-seven million, two hundred eighty-four thousand".