42584960 has 128 divisors (see below), whose sum is σ = 116328960. Its totient is φ = 14755840.

The previous prime is 42584959. The next prime is 42584989. The reversal of 42584960 is 6948524.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 9.

It is a congruent number.

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, 161789 + ... + 162051.

It is an arithmetic number, because the mean of its divisors is an integer number (908820).

Almost surely, 2^42584960 is an apocalyptic number.

42584960 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 42584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58164480).

42584960 is an abundant number, since it is smaller than the sum of its proper divisors (73744000).

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

42584960 is a wasteful number, since it uses less digits than its factorization.

42584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 42584960 is about 6525.7152864648. The cubic root of 42584960 is about 349.2089891479.

The spelling of 42584960 in words is "forty-two million, five hundred eighty-four thousand, nine hundred sixty".