67516064 has 144 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 25259520.

The previous prime is 67516051. The next prime is 67516069. The reversal of 67516064 is 46061576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67516069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1273862 + ... + 1273914.

It is an arithmetic number, because the mean of its divisors is an integer number (1206576).

Almost surely, 2^67516064 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 67516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

67516064 is an abundant number, since it is smaller than the sum of its proper divisors (106230880).

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

67516064 is a wasteful number, since it uses less digits than its factorization.

67516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 67516064 is about 8216.8159283265. The cubic root of 67516064 is about 407.1949394863.

The spelling of 67516064 in words is "sixty-seven million, five hundred sixteen thousand, sixty-four".