42225664 has 78 divisors (see below), whose sum is σ = 92935086. Its totient is φ = 19169280.

The previous prime is 42225647. The next prime is 42225679. The reversal of 42225664 is 46652224.

It can be written as a sum of positive squares in 3 ways, for example, as 3686400 + 38539264 = 1920^2 + 6208^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 692194 + ... + 692254.

Almost surely, 2^42225664 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 42225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46467543).

42225664 is an abundant number, since it is smaller than the sum of its proper divisors (50709422).

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

42225664 is an equidigital number, since it uses as much as digits as its factorization.

42225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 42225664 is about 6498.1277303543. The cubic root of 42225664 is about 348.2241036808.

Adding to 42225664 its reverse (46652224), we get a palindrome (88877888).

The spelling of 42225664 in words is "forty-two million, two hundred twenty-five thousand, six hundred sixty-four".