42604320 has 96 divisors (see below), whose sum is σ = 146422080. Its totient is φ = 10327040.

The previous prime is 42604307. The next prime is 42604321. The reversal of 42604320 is 2340624.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42604321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246 + ... + 9314.

It is an arithmetic number, because the mean of its divisors is an integer number (1525230).

Almost surely, 2^42604320 is an apocalyptic number.

42604320 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 42604320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73211040).

42604320 is an abundant number, since it is smaller than the sum of its proper divisors (103817760).

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

42604320 is a wasteful number, since it uses less digits than its factorization.

42604320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098 (or 8090 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42604320 is about 6527.1984802057. The cubic root of 42604320 is about 349.2619003304.

Adding to 42604320 its reverse (2340624), we get a palindrome (44944944).

It can be divided in two parts, 42604 and 320, that added together give a palindrome (42924).

The spelling of 42604320 in words is "forty-two million, six hundred four thousand, three hundred twenty".