67224864 has 144 divisors (see below), whose sum is σ = 212357376. Its totient is φ = 18547200.

The previous prime is 67224863. The next prime is 67224881. The reversal of 67224864 is 46842276.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (129024) is a multiple of the sum of its prime divisors (504).

It is not an unprimeable number, because it can be changed into a prime (67224863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145594 + ... + 146054.

It is an arithmetic number, because the mean of its divisors is an integer number (1474704).

Almost surely, 2^67224864 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 67224864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106178688).

67224864 is an abundant number, since it is smaller than the sum of its proper divisors (145132512).

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

67224864 is a wasteful number, since it uses less digits than its factorization.

67224864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 67224864 is about 8199.0770212262. The cubic root of 67224864 is about 406.6086787633.

The spelling of 67224864 in words is "sixty-seven million, two hundred twenty-four thousand, eight hundred sixty-four".