42889120 has 48 divisors (see below), whose sum is σ = 104606208. Its totient is φ = 16600320.

The previous prime is 42889117. The next prime is 42889129. The reversal of 42889120 is 2198824.

42889120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42889120² = 3678953228748800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42889129) 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 7 ways as a sum of consecutive naturals, for example, 637 + ... + 9283.

It is an arithmetic number, because the mean of its divisors is an integer number (2179296).

Almost surely, 2^42889120 is an apocalyptic number.

42889120 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 42889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52303104).

42889120 is an abundant number, since it is smaller than the sum of its proper divisors (61717088).

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

42889120 is a wasteful number, since it uses less digits than its factorization.

42889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8693 (or 8685 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 42889120 is about 6548.9785463078. The cubic root of 42889120 is about 350.0384175517.

The spelling of 42889120 in words is "forty-two million, eight hundred eighty-nine thousand, one hundred twenty".