67213146 has 192 divisors, whose sum is σ = 196632576. Its totient is φ = 14774400.

The previous prime is 67213141. The next prime is 67213187. The reversal of 67213146 is 64131276.

It is not an unprimeable number, because it can be changed into a prime (67213141) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2168151 + ... + 2168181.

It is an arithmetic number, because the mean of its divisors is an integer number (1024128).

Almost surely, 2^67213146 is an apocalyptic number.

67213146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 67213146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98316288).

67213146 is an abundant number, since it is smaller than the sum of its proper divisors (129419430).

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

67213146 is a wasteful number, since it uses less digits than its factorization.

67213146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 67213146 is about 8198.3623974548. The cubic root of 67213146 is about 406.5850520024.

The spelling of 67213146 in words is "sixty-seven million, two hundred thirteen thousand, one hundred forty-six".