42819160 has 64 divisors (see below), whose sum is σ = 102585600. Its totient is φ = 16039296.

The previous prime is 42819157. The next prime is 42819163. The reversal of 42819160 is 6191824.

It is a happy number.

42819160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42819157) and next prime (42819163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42819163) 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 15 ways as a sum of consecutive naturals, for example, 78007 + ... + 78553.

It is an arithmetic number, because the mean of its divisors is an integer number (1602900).

Almost surely, 2^42819160 is an apocalyptic number.

42819160 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 42819160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51292800).

42819160 is an abundant number, since it is smaller than the sum of its proper divisors (59766440).

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

42819160 is a wasteful number, since it uses less digits than its factorization.

42819160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 42819160 is about 6543.6350753996. The cubic root of 42819160 is about 349.8479884098.

The spelling of 42819160 in words is "forty-two million, eight hundred nineteen thousand, one hundred sixty".