42200664 has 64 divisors (see below), whose sum is σ = 121875840. Its totient is φ = 12034560.

The previous prime is 42200663. The next prime is 42200701. The reversal of 42200664 is 46600224.

42200664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214 + ... + 9189.

It is an arithmetic number, because the mean of its divisors is an integer number (1904310).

Almost surely, 2^42200664 is an apocalyptic number.

42200664 is a gapful number since it is divisible by the number (44) 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 42200664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60937920).

42200664 is an abundant number, since it is smaller than the sum of its proper divisors (79675176).

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

42200664 is a wasteful number, since it uses less digits than its factorization.

42200664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42200664 is about 6496.2038145366. The cubic root of 42200664 is about 348.1553672743.

Adding to 42200664 its reverse (46600224), we get a palindrome (88800888).

The spelling of 42200664 in words is "forty-two million, two hundred thousand, six hundred sixty-four".