67041216 has 112 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 20309760.

The previous prime is 67041203. The next prime is 67041239. The reversal of 67041216 is 61214076.

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

It is a self number, because there is not a number n which added to its sum of digits gives 67041216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17245 + ... + 20771.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 2^67041216 is an apocalyptic number.

67041216 is a gapful number since it is divisible by the number (66) 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 67041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

67041216 is an abundant number, since it is smaller than the sum of its proper divisors (148025664).

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

67041216 is a wasteful number, since it uses less digits than its factorization.

67041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3543 counting only the distinct ones).

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

The square root of 67041216 is about 8187.8700527060. The cubic root of 67041216 is about 406.2380769361.

The spelling of 67041216 in words is "sixty-seven million, forty-one thousand, two hundred sixteen".