67006112 has 48 divisors (see below), whose sum is σ = 143496360. Its totient is φ = 30670848.

The previous prime is 67006111. The next prime is 67006117. The reversal of 67006112 is 21160076.

It can be written as a sum of positive squares in 4 ways, for example, as 66650896 + 355216 = 8164^2 + 596^2 .

It is not an unprimeable number, because it can be changed into a prime (67006111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18464 + ... + 21792.

Almost surely, 2^67006112 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 67006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71748180).

67006112 is an abundant number, since it is smaller than the sum of its proper divisors (76490248).

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

67006112 is a wasteful number, since it uses less digits than its factorization.

67006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 67006112 is about 8185.7261131802. The cubic root of 67006112 is about 406.1671600083.

Adding to 67006112 its reverse (21160076), we get a palindrome (88166188).

The spelling of 67006112 in words is "sixty-seven million, six thousand, one hundred twelve".