42089904 has 60 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 13544832.

The previous prime is 42089899. The next prime is 42089917. The reversal of 42089904 is 40998024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864 + ... + 9215.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^42089904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42089904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

42089904 is an abundant number, since it is smaller than the sum of its proper divisors (79777296).

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

42089904 is a wasteful number, since it uses less digits than its factorization.

42089904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42089904 is about 6487.6732346813. The cubic root of 42089904 is about 347.8505105060.

The spelling of 42089904 in words is "forty-two million, eighty-nine thousand, nine hundred four".