42320600 has 192 divisors, whose sum is σ = 124396800. Its totient is φ = 13063680.

The previous prime is 42320587. The next prime is 42320609. The reversal of 42320600 is 602324.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42320609) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 984179 + ... + 984221.

It is an arithmetic number, because the mean of its divisors is an integer number (647900).

Almost surely, 2^42320600 is an apocalyptic number.

42320600 is a gapful number since it is divisible by the number (40) 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 42320600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62198400).

42320600 is an abundant number, since it is smaller than the sum of its proper divisors (82076200).

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

42320600 is a wasteful number, since it uses less digits than its factorization.

42320600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 42320600 is about 6505.4285024124. The cubic root of 42320600 is about 348.4848792041.

Adding to 42320600 its reverse (602324), we get a palindrome (42922924).

The spelling of 42320600 in words is "forty-two million, three hundred twenty thousand, six hundred".