42611360 has 144 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 14784000.

The previous prime is 42611347. The next prime is 42611363. The reversal of 42611360 is 6311624.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42611363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600125 + ... + 600195.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^42611360 is an apocalyptic number.

42611360 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 42611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

42611360 is an abundant number, since it is smaller than the sum of its proper divisors (73219936).

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

42611360 is a wasteful number, since it uses less digits than its factorization.

42611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 42611360 is about 6527.7377398299. The cubic root of 42611360 is about 349.2811367862.

Adding to 42611360 its reverse (6311624), we get a palindrome (48922984).

The spelling of 42611360 in words is "forty-two million, six hundred eleven thousand, three hundred sixty".