42180600 has 288 divisors, whose sum is σ = 166239360. Its totient is φ = 8659200.

The previous prime is 42180563. The next prime is 42180601. The reversal of 42180600 is 608124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42180601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 508159 + ... + 508241.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 2^42180600 is an apocalyptic number.

42180600 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 42180600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680).

42180600 is an abundant number, since it is smaller than the sum of its proper divisors (124058760).

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

42180600 is a wasteful number, since it uses less digits than its factorization.

42180600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 42180600 is about 6494.6593444152. The cubic root of 42180600 is about 348.1001825452.

Adding to 42180600 its reverse (608124), we get a palindrome (42788724).

The spelling of 42180600 in words is "forty-two million, one hundred eighty thousand, six hundred".