67084040 has 64 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 24706048.

The previous prime is 67084033. The next prime is 67084049. The reversal of 67084040 is 4048076.

It is a junction number, because it is equal to n+sod(n) for n = 67083994 and 67084012.

It is not an unprimeable number, because it can be changed into a prime (67084049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30911 + ... + 33009.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^67084040 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 67084040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

67084040 is an abundant number, since it is smaller than the sum of its proper divisors (96211960).

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

67084040 is a wasteful number, since it uses less digits than its factorization.

67084040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 67084040 is about 8190.4847231406. The cubic root of 67084040 is about 406.3245562572.

The spelling of 67084040 in words is "sixty-seven million, eighty-four thousand, forty".