67089312 has 72 divisors (see below), whose sum is σ = 191695140. Its totient is φ = 22256640.

The previous prime is 67089299. The next prime is 67089329. The reversal of 67089312 is 21398076.

It can be written as a sum of positive squares in 2 ways, for example, as 65999376 + 1089936 = 8124^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 80514 + ... + 81342.

Almost surely, 2^67089312 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 67089312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95847570).

67089312 is an abundant number, since it is smaller than the sum of its proper divisors (124605828).

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

67089312 is a wasteful number, since it uses less digits than its factorization.

67089312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 67089312 is about 8190.8065536918. The cubic root of 67089312 is about 406.3352000554.

The spelling of 67089312 in words is "sixty-seven million, eighty-nine thousand, three hundred twelve".