642213120 has 288 divisors, whose sum is σ = 2178086400. Its totient is φ = 161021952.

The previous prime is 642213109. The next prime is 642213161. The reversal of 642213120 is 21312246.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8129241 + ... + 8129319.

It is an arithmetic number, because the mean of its divisors is an integer number (7562800).

Almost surely, 2^642213120 is an apocalyptic number.

642213120 is a gapful number since it is divisible by the number (60) 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 642213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089043200).

642213120 is an abundant number, since it is smaller than the sum of its proper divisors (1535873280).

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

642213120 is a wasteful number, since it uses less digits than its factorization.

642213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 642213120 is about 25341.9241574116. The cubic root of 642213120 is about 862.7660712408.

Adding to 642213120 its reverse (21312246), we get a palindrome (663525366).

The spelling of 642213120 in words is "six hundred forty-two million, two hundred thirteen thousand, one hundred twenty".