67225664 has 42 divisors (see below), whose sum is σ = 146647662. Its totient is φ = 30553600.

The previous prime is 67225661. The next prime is 67225709. The reversal of 67225664 is 46652276.

It can be written as a sum of positive squares in only one way, i.e., 64128064 + 3097600 = 8008^2 + 1760^2 .

It is not an unprimeable number, because it can be changed into a prime (67225661) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3404 + ... + 12084.

It is an arithmetic number, because the mean of its divisors is an integer number (3491611).

Almost surely, 2^67225664 is an apocalyptic number.

67225664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73323831).

67225664 is an abundant number, since it is smaller than the sum of its proper divisors (79421998).

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

67225664 is a wasteful number, since it uses less digits than its factorization.

67225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8715 (or 8694 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 67225664 is about 8199.1258070602. The cubic root of 67225664 is about 406.6102916866.

The spelling of 67225664 in words is "sixty-seven million, two hundred twenty-five thousand, six hundred sixty-four".