42635320 has 192 divisors, whose sum is σ = 128070720. Its totient is φ = 12460032.

The previous prime is 42635291. The next prime is 42635321. The reversal of 42635320 is 2353624.

42635320 = T₁₈₅ + T₁₈₆ + ... + T₆₃₉.

It is a happy number.

It is a super-3 number, since 3×42635320³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42635321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804414 + ... + 804466.

It is an arithmetic number, because the mean of its divisors is an integer number (667035).

Almost surely, 2^42635320 is an apocalyptic number.

42635320 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 42635320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64035360).

42635320 is an abundant number, since it is smaller than the sum of its proper divisors (85435400).

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

42635320 is a wasteful number, since it uses less digits than its factorization.

42635320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 42635320 is about 6529.5727272158. The cubic root of 42635320 is about 349.3465904428.

Adding to 42635320 its reverse (2353624), we get a palindrome (44988944).

The spelling of 42635320 in words is "forty-two million, six hundred thirty-five thousand, three hundred twenty".