42589960 has 64 divisors (see below), whose sum is σ = 112504320. Its totient is φ = 14204160.

The previous prime is 42589907. The next prime is 42589991. The reversal of 42589960 is 6998524.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8305 + ... + 12415.

It is an arithmetic number, because the mean of its divisors is an integer number (1757880).

Almost surely, 2^42589960 is an apocalyptic number.

42589960 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 42589960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56252160).

42589960 is an abundant number, since it is smaller than the sum of its proper divisors (69914360).

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

42589960 is a wasteful number, since it uses less digits than its factorization.

42589960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 42589960 is about 6526.0983749864. The cubic root of 42589960 is about 349.2226557618. Note that the first 3 decimals are identical.

The spelling of 42589960 in words is "forty-two million, five hundred eighty-nine thousand, nine hundred sixty".