42184560 has 240 divisors, whose sum is σ = 155525760. Its totient is φ = 9354240.

The previous prime is 42184543. The next prime is 42184561. The reversal of 42184560 is 6548124.

42184560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42184561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454626 + ... + 1454654.

It is an arithmetic number, because the mean of its divisors is an integer number (648024).

Almost surely, 2^42184560 is an apocalyptic number.

42184560 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 42184560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77762880).

42184560 is an abundant number, since it is smaller than the sum of its proper divisors (113341200).

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

42184560 is a wasteful number, since it uses less digits than its factorization.

42184560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42184560 is about 6494.9642031346. The cubic root of 42184560 is about 348.1110756539. Note that the first 3 decimals are identical.

It can be divided in two parts, 4218 and 4560, that added together give a palindrome (8778).

The spelling of 42184560 in words is "forty-two million, one hundred eighty-four thousand, five hundred sixty".