42210564 has 48 divisors (see below), whose sum is σ = 108682560. Its totient is φ = 12643840.

The previous prime is 42210551. The next prime is 42210593. The reversal of 42210564 is 46501224.

It is a super-3 number, since 3×42210564³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9952 + ... + 13544.

It is an arithmetic number, because the mean of its divisors is an integer number (2264220).

Almost surely, 2^42210564 is an apocalyptic number.

42210564 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 42210564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54341280).

42210564 is an abundant number, since it is smaller than the sum of its proper divisors (66471996).

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

42210564 is a wasteful number, since it uses less digits than its factorization.

42210564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42210564 is about 6496.9657533344. The cubic root of 42210564 is about 348.1825901369.

Adding to 42210564 its reverse (46501224), we get a palindrome (88711788).

The spelling of 42210564 in words is "forty-two million, two hundred ten thousand, five hundred sixty-four".