67191012 has 192 divisors, whose sum is σ = 213319680. Its totient is φ = 17884800.

The previous prime is 67190993. The next prime is 67191013. The reversal of 67191012 is 21019176.

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 (67191013) 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, 1101462 + ... + 1101522.

It is an arithmetic number, because the mean of its divisors is an integer number (1111040).

Almost surely, 2^67191012 is an apocalyptic number.

67191012 is a gapful number since it is divisible by the number (62) 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 67191012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106659840).

67191012 is an abundant number, since it is smaller than the sum of its proper divisors (146128668).

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

67191012 is a wasteful number, since it uses less digits than its factorization.

67191012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 67191012 is about 8197.0123825696. The cubic root of 67191012 is about 406.5404161827.

The spelling of 67191012 in words is "sixty-seven million, one hundred ninety-one thousand, twelve".