42320320 has 84 divisors (see below), whose sum is σ = 117271800. Its totient is φ = 14504448.

The previous prime is 42320297. The next prime is 42320329. The reversal of 42320320 is 2302324.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 42320294 and 42320303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42320329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14331 + ... + 17029.

Almost surely, 2^42320320 is an apocalyptic number.

42320320 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 42320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58635900).

42320320 is an abundant number, since it is smaller than the sum of its proper divisors (74951480).

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

42320320 is a wasteful number, since it uses less digits than its factorization.

42320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 42320320 is about 6505.4069818882. The cubic root of 42320320 is about 348.4841106582.

Adding to 42320320 its reverse (2302324), we get a palindrome (44622644).

It can be divided in two parts, 42320 and 320, that multiplied together give a square (13542400 = 3680²).

The spelling of 42320320 in words is "forty-two million, three hundred twenty thousand, three hundred twenty".