42598960 has 80 divisors (see below), whose sum is σ = 103921920. Its totient is φ = 16220160.

The previous prime is 42598949. The next prime is 42599009. The reversal of 42598960 is 6989524.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220624 + ... + 220816.

It is an arithmetic number, because the mean of its divisors is an integer number (1299024).

Almost surely, 2^42598960 is an apocalyptic number.

42598960 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 42598960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51960960).

42598960 is an abundant number, since it is smaller than the sum of its proper divisors (61322960).

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

42598960 is a wasteful number, since it uses less digits than its factorization.

42598960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

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

The square root of 42598960 is about 6526.7878776623. The cubic root of 42598960 is about 349.2472529715.

The spelling of 42598960 in words is "forty-two million, five hundred ninety-eight thousand, nine hundred sixty".