42160800 has 144 divisors (see below), whose sum is σ = 149802912. Its totient is φ = 10214400.

The previous prime is 42160793. The next prime is 42160801. The reversal of 42160800 is 806124.

It is not an unprimeable number, because it can be changed into a prime (42160801) 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, 25602 + ... + 27198.

It is an arithmetic number, because the mean of its divisors is an integer number (1040298).

Almost surely, 2^42160800 is an apocalyptic number.

42160800 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 42160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74901456).

42160800 is an abundant number, since it is smaller than the sum of its proper divisors (107642112).

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

42160800 is a wasteful number, since it uses less digits than its factorization.

42160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1618 counting only the distinct ones).

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

The square root of 42160800 is about 6493.1348361173. The cubic root of 42160800 is about 348.0457067723.

Adding to 42160800 its reverse (806124), we get a palindrome (42966924).

The spelling of 42160800 in words is "forty-two million, one hundred sixty thousand, eight hundred".