67084416 has 256 divisors, whose sum is σ = 235008000. Its totient is φ = 18441216.

The previous prime is 67084387. The next prime is 67084417. The reversal of 67084416 is 61448076.

67084416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×67084416² = 9000637740122112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67084417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136995 + ... + 1137053.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^67084416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).

67084416 is an abundant number, since it is smaller than the sum of its proper divisors (167923584).

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

67084416 is a wasteful number, since it uses less digits than its factorization.

67084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67084416 is about 8190.5076765729. The cubic root of 67084416 is about 406.3253153933.

The spelling of 67084416 in words is "sixty-seven million, eighty-four thousand, four hundred sixteen".